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Finding the Third Proportional to 8,205,810 and 17,856,498

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Solution

The third proportional to 8,205,810 and 17,856,498 is: 38,857,165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205,810 : 17,856,498 = 17,856,498 : x
  2. Step 2: Convert to fraction form
    8,205,810/17,856,498 = 17,856,498/x
  3. Step 3: Cross multiply
    8,205,810x = 17,856,498 × 17,856,498
  4. Step 4: Simplify right side
    8,205,810x = 318,854,520,824,004
  5. Step 5: Solve for x
    x = 318,854,520,824,004/8,205,810
  6. Step 6: Final answer
    x = 38,857,165.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.