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Finding the Third Proportional to 5,059,806,282,810 and 7,708,264,876,827

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Solution

The third proportional to 5,059,806,282,810 and 7,708,264,876,827 is: 11,743,008,346,621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059,806,282,810 : 7,708,264,876,827 = 7,708,264,876,827 : x
  2. Step 2: Convert to fraction form
    5,059,806,282,810/7,708,264,876,827 = 7,708,264,876,827/x
  3. Step 3: Cross multiply
    5,059,806,282,810x = 7,708,264,876,827 × 7,708,264,876,827
  4. Step 4: Simplify right side
    5,059,806,282,810x = 59,417,347,411,324,767,494,471,680
  5. Step 5: Solve for x
    x = 59,417,347,411,324,767,494,471,680/5,059,806,282,810
  6. Step 6: Final answer
    x = 11,743,008,346,621.31

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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.