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Finding the Third Proportional to 307,396,112.06 and 658,724,680.13

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Solution

The third proportional to 307,396,112.06 and 658,724,680.13 is: 1,411,593,013.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,396,112.06 : 658,724,680.13 = 658,724,680.13 : x
  2. Step 2: Convert to fraction form
    307,396,112.06/658,724,680.13 = 658,724,680.13/x
  3. Step 3: Cross multiply
    307,396,112.06x = 658,724,680.13 × 658,724,680.13
  4. Step 4: Simplify right side
    307,396,112.06x = 433,918,204,205,783,552
  5. Step 5: Solve for x
    x = 433,918,204,205,783,552/307,396,112.06
  6. Step 6: Final answer
    x = 1,411,593,013.63

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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.