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Finding the Third Proportional to 70,337,609 and 106,241,412

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Solution

The third proportional to 70,337,609 and 106,241,412 is: 160,472,296.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,337,609 : 106,241,412 = 106,241,412 : x
  2. Step 2: Convert to fraction form
    70,337,609/106,241,412 = 106,241,412/x
  3. Step 3: Cross multiply
    70,337,609x = 106,241,412 × 106,241,412
  4. Step 4: Simplify right side
    70,337,609x = 11,287,237,623,753,744
  5. Step 5: Solve for x
    x = 11,287,237,623,753,744/70,337,609
  6. Step 6: Final answer
    x = 160,472,296.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.