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Finding the Third Proportional to 29,468,726 and 61,991,467

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Solution

The third proportional to 29,468,726 and 61,991,467 is: 130,407,469.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,468,726 : 61,991,467 = 61,991,467 : x
  2. Step 2: Convert to fraction form
    29,468,726/61,991,467 = 61,991,467/x
  3. Step 3: Cross multiply
    29,468,726x = 61,991,467 × 61,991,467
  4. Step 4: Simplify right side
    29,468,726x = 3,842,941,980,812,089
  5. Step 5: Solve for x
    x = 3,842,941,980,812,089/29,468,726
  6. Step 6: Final answer
    x = 130,407,469.29

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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.