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Finding the Third Proportional to 29,472,771 and 63,424,517

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Solution

The third proportional to 29,472,771 and 63,424,517 is: 136,487,653.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,472,771 : 63,424,517 = 63,424,517 : x
  2. Step 2: Convert to fraction form
    29,472,771/63,424,517 = 63,424,517/x
  3. Step 3: Cross multiply
    29,472,771x = 63,424,517 × 63,424,517
  4. Step 4: Simplify right side
    29,472,771x = 4,022,669,356,683,289
  5. Step 5: Solve for x
    x = 4,022,669,356,683,289/29,472,771
  6. Step 6: Final answer
    x = 136,487,653.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.