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Finding the Third Proportional to 6,645,894 and 9,957,747

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Solution

The third proportional to 6,645,894 and 9,957,747 is: 14,919,998.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645,894 : 9,957,747 = 9,957,747 : x
  2. Step 2: Convert to fraction form
    6,645,894/9,957,747 = 9,957,747/x
  3. Step 3: Cross multiply
    6,645,894x = 9,957,747 × 9,957,747
  4. Step 4: Simplify right side
    6,645,894x = 99,156,725,316,009
  5. Step 5: Solve for x
    x = 99,156,725,316,009/6,645,894
  6. Step 6: Final answer
    x = 14,919,998.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.