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Finding the Third Proportional to 9,096,486 and 19,765,344

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Solution

The third proportional to 9,096,486 and 19,765,344 is: 42,947,224.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096,486 : 19,765,344 = 19,765,344 : x
  2. Step 2: Convert to fraction form
    9,096,486/19,765,344 = 19,765,344/x
  3. Step 3: Cross multiply
    9,096,486x = 19,765,344 × 19,765,344
  4. Step 4: Simplify right side
    9,096,486x = 390,668,823,438,336
  5. Step 5: Solve for x
    x = 390,668,823,438,336/9,096,486
  6. Step 6: Final answer
    x = 42,947,224.17

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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.