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Finding the Third Proportional to 34,654,756,805 and 75,953,057,550

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Solution

The third proportional to 34,654,756,805 and 75,953,057,550 is: 166,466,813,882.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,654,756,805 : 75,953,057,550 = 75,953,057,550 : x
  2. Step 2: Convert to fraction form
    34,654,756,805/75,953,057,550 = 75,953,057,550/x
  3. Step 3: Cross multiply
    34,654,756,805x = 75,953,057,550 × 75,953,057,550
  4. Step 4: Simplify right side
    34,654,756,805x = 5,768,866,951,193,612,517,376
  5. Step 5: Solve for x
    x = 5,768,866,951,193,612,517,376/34,654,756,805
  6. Step 6: Final answer
    x = 166,466,813,882.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.