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Finding the Third Proportional to 49,564,478 and 69,674,466

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Solution

The third proportional to 49,564,478 and 69,674,466 is: 97,943,757.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,564,478 : 69,674,466 = 69,674,466 : x
  2. Step 2: Convert to fraction form
    49,564,478/69,674,466 = 69,674,466/x
  3. Step 3: Cross multiply
    49,564,478x = 69,674,466 × 69,674,466
  4. Step 4: Simplify right side
    49,564,478x = 4,854,531,212,385,156
  5. Step 5: Solve for x
    x = 4,854,531,212,385,156/49,564,478
  6. Step 6: Final answer
    x = 97,943,757.47

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.