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Finding the Third Proportional to 71,539,963 and 154,964,775

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Solution

The third proportional to 71,539,963 and 154,964,775 is: 335,673,663.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,539,963 : 154,964,775 = 154,964,775 : x
  2. Step 2: Convert to fraction form
    71,539,963/154,964,775 = 154,964,775/x
  3. Step 3: Cross multiply
    71,539,963x = 154,964,775 × 154,964,775
  4. Step 4: Simplify right side
    71,539,963x = 24,014,081,490,800,624
  5. Step 5: Solve for x
    x = 24,014,081,490,800,624/71,539,963
  6. Step 6: Final answer
    x = 335,673,663.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.