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Finding the Third Proportional to 7,000,289 and 10,981,386

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Solution

The third proportional to 7,000,289 and 10,981,386 is: 17,226,551.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000,289 : 10,981,386 = 10,981,386 : x
  2. Step 2: Convert to fraction form
    7,000,289/10,981,386 = 10,981,386/x
  3. Step 3: Cross multiply
    7,000,289x = 10,981,386 × 10,981,386
  4. Step 4: Simplify right side
    7,000,289x = 120,590,838,480,996
  5. Step 5: Solve for x
    x = 120,590,838,480,996/7,000,289
  6. Step 6: Final answer
    x = 17,226,551.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.