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Finding the Third Proportional to 17,371,584 and 38,169,468

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Solution

The third proportional to 17,371,584 and 38,169,468 is: 83,867,325.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,371,584 : 38,169,468 = 38,169,468 : x
  2. Step 2: Convert to fraction form
    17,371,584/38,169,468 = 38,169,468/x
  3. Step 3: Cross multiply
    17,371,584x = 38,169,468 × 38,169,468
  4. Step 4: Simplify right side
    17,371,584x = 1,456,908,287,403,024
  5. Step 5: Solve for x
    x = 1,456,908,287,403,024/17,371,584
  6. Step 6: Final answer
    x = 83,867,325.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.