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Finding the Third Proportional to 3,098,613 and 6,711,780

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Solution

The third proportional to 3,098,613 and 6,711,780 is: 14,538,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098,613 : 6,711,780 = 6,711,780 : x
  2. Step 2: Convert to fraction form
    3,098,613/6,711,780 = 6,711,780/x
  3. Step 3: Cross multiply
    3,098,613x = 6,711,780 × 6,711,780
  4. Step 4: Simplify right side
    3,098,613x = 45,047,990,768,400
  5. Step 5: Solve for x
    x = 45,047,990,768,400/3,098,613
  6. Step 6: Final answer
    x = 14,538,114.56

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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.