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Finding the Third Proportional to 7,663,399 and 11,527,289

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Solution

The third proportional to 7,663,399 and 11,527,289 is: 17,339,354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663,399 : 11,527,289 = 11,527,289 : x
  2. Step 2: Convert to fraction form
    7,663,399/11,527,289 = 11,527,289/x
  3. Step 3: Cross multiply
    7,663,399x = 11,527,289 × 11,527,289
  4. Step 4: Simplify right side
    7,663,399x = 132,878,391,689,521
  5. Step 5: Solve for x
    x = 132,878,391,689,521/7,663,399
  6. Step 6: Final answer
    x = 17,339,354.47

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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.