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Finding the Third Proportional to 9,096,488 and 19,765,348

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Solution

The third proportional to 9,096,488 and 19,765,348 is: 42,947,232.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096,488 : 19,765,348 = 19,765,348 : x
  2. Step 2: Convert to fraction form
    9,096,488/19,765,348 = 19,765,348/x
  3. Step 3: Cross multiply
    9,096,488x = 19,765,348 × 19,765,348
  4. Step 4: Simplify right side
    9,096,488x = 390,668,981,561,104
  5. Step 5: Solve for x
    x = 390,668,981,561,104/9,096,488
  6. Step 6: Final answer
    x = 42,947,232.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.