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Finding the Third Proportional to 9,087,864 and 19,452,610

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Solution

The third proportional to 9,087,864 and 19,452,610 is: 41,638,391.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,087,864 : 19,452,610 = 19,452,610 : x
  2. Step 2: Convert to fraction form
    9,087,864/19,452,610 = 19,452,610/x
  3. Step 3: Cross multiply
    9,087,864x = 19,452,610 × 19,452,610
  4. Step 4: Simplify right side
    9,087,864x = 378,404,035,812,100
  5. Step 5: Solve for x
    x = 378,404,035,812,100/9,087,864
  6. Step 6: Final answer
    x = 41,638,391.13

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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.