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Finding the Third Proportional to 6,385,304 and 9,913,716

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Solution

The third proportional to 6,385,304 and 9,913,716 is: 15,391,869.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385,304 : 9,913,716 = 9,913,716 : x
  2. Step 2: Convert to fraction form
    6,385,304/9,913,716 = 9,913,716/x
  3. Step 3: Cross multiply
    6,385,304x = 9,913,716 × 9,913,716
  4. Step 4: Simplify right side
    6,385,304x = 98,281,764,928,656
  5. Step 5: Solve for x
    x = 98,281,764,928,656/6,385,304
  6. Step 6: Final answer
    x = 15,391,869.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.