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Finding the Third Proportional to 49,764,639 and 74,646,963

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Solution

The third proportional to 49,764,639 and 74,646,963 is: 111,970,451.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,764,639 : 74,646,963 = 74,646,963 : x
  2. Step 2: Convert to fraction form
    49,764,639/74,646,963 = 74,646,963/x
  3. Step 3: Cross multiply
    49,764,639x = 74,646,963 × 74,646,963
  4. Step 4: Simplify right side
    49,764,639x = 5,572,169,085,123,369
  5. Step 5: Solve for x
    x = 5,572,169,085,123,369/49,764,639
  6. Step 6: Final answer
    x = 111,970,451.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.