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Finding the Third Proportional to 9,367,497 and 19,971,742

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Solution

The third proportional to 9,367,497 and 19,971,742 is: 42,580,262.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,367,497 : 19,971,742 = 19,971,742 : x
  2. Step 2: Convert to fraction form
    9,367,497/19,971,742 = 19,971,742/x
  3. Step 3: Cross multiply
    9,367,497x = 19,971,742 × 19,971,742
  4. Step 4: Simplify right side
    9,367,497x = 398,870,478,514,564
  5. Step 5: Solve for x
    x = 398,870,478,514,564/9,367,497
  6. Step 6: Final answer
    x = 42,580,262.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.