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Finding the Third Proportional to 5,059,806,282,886.50 and 7,708,264,876,973.20

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Solution

The third proportional to 5,059,806,282,886.50 and 7,708,264,876,973.20 is: 11,743,008,346,889.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059,806,282,886.50 : 7,708,264,876,973.20 = 7,708,264,876,973.20 : x
  2. Step 2: Convert to fraction form
    5,059,806,282,886.50/7,708,264,876,973.20 = 7,708,264,876,973.20/x
  3. Step 3: Cross multiply
    5,059,806,282,886.50x = 7,708,264,876,973.20 × 7,708,264,876,973.20
  4. Step 4: Simplify right side
    5,059,806,282,886.50x = 59,417,347,413,578,663,252,197,376
  5. Step 5: Solve for x
    x = 59,417,347,413,578,663,252,197,376/5,059,806,282,886.50
  6. Step 6: Final answer
    x = 11,743,008,346,889.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.