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Finding the Third Proportional to 9,087,918 and 19,452,463.50

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Solution

The third proportional to 9,087,918 and 19,452,463.50 is: 41,637,516.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,087,918 : 19,452,463.50 = 19,452,463.50 : x
  2. Step 2: Convert to fraction form
    9,087,918/19,452,463.50 = 19,452,463.50/x
  3. Step 3: Cross multiply
    9,087,918x = 19,452,463.50 × 19,452,463.50
  4. Step 4: Simplify right side
    9,087,918x = 378,398,336,218,832.25
  5. Step 5: Solve for x
    x = 378,398,336,218,832.25/9,087,918
  6. Step 6: Final answer
    x = 41,637,516.56

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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.