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Finding the Third Proportional to 29,468,724 and 61,991,463

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Solution

The third proportional to 29,468,724 and 61,991,463 is: 130,407,461.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,468,724 : 61,991,463 = 61,991,463 : x
  2. Step 2: Convert to fraction form
    29,468,724/61,991,463 = 61,991,463/x
  3. Step 3: Cross multiply
    29,468,724x = 61,991,463 × 61,991,463
  4. Step 4: Simplify right side
    29,468,724x = 3,842,941,484,880,369
  5. Step 5: Solve for x
    x = 3,842,941,484,880,369/29,468,724
  6. Step 6: Final answer
    x = 130,407,461.31

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.