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Finding the Third Proportional to 9,087,921 and 19,452,469

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Solution

The third proportional to 9,087,921 and 19,452,469 is: 41,637,526.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,087,921 : 19,452,469 = 19,452,469 : x
  2. Step 2: Convert to fraction form
    9,087,921/19,452,469 = 19,452,469/x
  3. Step 3: Cross multiply
    9,087,921x = 19,452,469 × 19,452,469
  4. Step 4: Simplify right side
    9,087,921x = 378,398,550,195,961
  5. Step 5: Solve for x
    x = 378,398,550,195,961/9,087,921
  6. Step 6: Final answer
    x = 41,637,526.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.