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Finding the Third Proportional to 7,806,941,950 and 11,893,460,460

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Solution

The third proportional to 7,806,941,950 and 11,893,460,460 is: 18,119,053,865.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806,941,950 : 11,893,460,460 = 11,893,460,460 : x
  2. Step 2: Convert to fraction form
    7,806,941,950/11,893,460,460 = 11,893,460,460/x
  3. Step 3: Cross multiply
    7,806,941,950x = 11,893,460,460 × 11,893,460,460
  4. Step 4: Simplify right side
    7,806,941,950x = 141,454,401,713,583,407,104
  5. Step 5: Solve for x
    x = 141,454,401,713,583,407,104/7,806,941,950
  6. Step 6: Final answer
    x = 18,119,053,865.08

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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.