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Finding the Third Proportional to 8,258,140 and 17,781,824

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Solution

The third proportional to 8,258,140 and 17,781,824 is: 38,288,678.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258,140 : 17,781,824 = 17,781,824 : x
  2. Step 2: Convert to fraction form
    8,258,140/17,781,824 = 17,781,824/x
  3. Step 3: Cross multiply
    8,258,140x = 17,781,824 × 17,781,824
  4. Step 4: Simplify right side
    8,258,140x = 316,193,264,766,976
  5. Step 5: Solve for x
    x = 316,193,264,766,976/8,258,140
  6. Step 6: Final answer
    x = 38,288,678.17

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.