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Finding the Third Proportional to 4,287,564 and 9,196,790

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Solution

The third proportional to 4,287,564 and 9,196,790 is: 19,727,039.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287,564 : 9,196,790 = 9,196,790 : x
  2. Step 2: Convert to fraction form
    4,287,564/9,196,790 = 9,196,790/x
  3. Step 3: Cross multiply
    4,287,564x = 9,196,790 × 9,196,790
  4. Step 4: Simplify right side
    4,287,564x = 84,580,946,304,100
  5. Step 5: Solve for x
    x = 84,580,946,304,100/4,287,564
  6. Step 6: Final answer
    x = 19,727,039.95

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