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Finding the Third Proportional to 312,665,712 and 416,840,160

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Solution

The third proportional to 312,665,712 and 416,840,160 is: 555,723,612.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,665,712 : 416,840,160 = 416,840,160 : x
  2. Step 2: Convert to fraction form
    312,665,712/416,840,160 = 416,840,160/x
  3. Step 3: Cross multiply
    312,665,712x = 416,840,160 × 416,840,160
  4. Step 4: Simplify right side
    312,665,712x = 173,755,718,988,825,600
  5. Step 5: Solve for x
    x = 173,755,718,988,825,600/312,665,712
  6. Step 6: Final answer
    x = 555,723,612.54

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.