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Finding the Third Proportional to 6,857,011.13 and 9,145,780.88

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Solution

The third proportional to 6,857,011.13 and 9,145,780.88 is: 12,198,508.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857,011.13 : 9,145,780.88 = 9,145,780.88 : x
  2. Step 2: Convert to fraction form
    6,857,011.13/9,145,780.88 = 9,145,780.88/x
  3. Step 3: Cross multiply
    6,857,011.13x = 9,145,780.88 × 9,145,780.88
  4. Step 4: Simplify right side
    6,857,011.13x = 83,645,307,813,515.77
  5. Step 5: Solve for x
    x = 83,645,307,813,515.77/6,857,011.13
  6. Step 6: Final answer
    x = 12,198,508.40

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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.