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Finding the Third Proportional to 34,478,306 and 51,418,515

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Solution

The third proportional to 34,478,306 and 51,418,515 is: 76,681,948.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,478,306 : 51,418,515 = 51,418,515 : x
  2. Step 2: Convert to fraction form
    34,478,306/51,418,515 = 51,418,515/x
  3. Step 3: Cross multiply
    34,478,306x = 51,418,515 × 51,418,515
  4. Step 4: Simplify right side
    34,478,306x = 2,643,863,684,805,225
  5. Step 5: Solve for x
    x = 2,643,863,684,805,225/34,478,306
  6. Step 6: Final answer
    x = 76,681,948.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.