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Finding the Third Proportional to 307,396,117 and 658,724,690

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Solution

The third proportional to 307,396,117 and 658,724,690 is: 1,411,593,033.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,396,117 : 658,724,690 = 658,724,690 : x
  2. Step 2: Convert to fraction form
    307,396,117/658,724,690 = 658,724,690/x
  3. Step 3: Cross multiply
    307,396,117x = 658,724,690 × 658,724,690
  4. Step 4: Simplify right side
    307,396,117x = 433,918,217,215,596,096
  5. Step 5: Solve for x
    x = 433,918,217,215,596,096/307,396,117
  6. Step 6: Final answer
    x = 1,411,593,033.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.