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Finding the Third Proportional to 70,337,607 and 106,241,409

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Solution

The third proportional to 70,337,607 and 106,241,409 is: 160,472,291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,337,607 : 106,241,409 = 106,241,409 : x
  2. Step 2: Convert to fraction form
    70,337,607/106,241,409 = 106,241,409/x
  3. Step 3: Cross multiply
    70,337,607x = 106,241,409 × 106,241,409
  4. Step 4: Simplify right side
    70,337,607x = 11,287,236,986,305,280
  5. Step 5: Solve for x
    x = 11,287,236,986,305,280/70,337,607
  6. Step 6: Final answer
    x = 160,472,291.68

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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.