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Finding the Third Proportional to 151,421,427 and 329,414,907

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Solution

The third proportional to 151,421,427 and 329,414,907 is: 716,636,892.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,421,427 : 329,414,907 = 329,414,907 : x
  2. Step 2: Convert to fraction form
    151,421,427/329,414,907 = 329,414,907/x
  3. Step 3: Cross multiply
    151,421,427x = 329,414,907 × 329,414,907
  4. Step 4: Simplify right side
    151,421,427x = 108,514,180,953,818,656
  5. Step 5: Solve for x
    x = 108,514,180,953,818,656/151,421,427
  6. Step 6: Final answer
    x = 716,636,892.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.