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Finding the Third Proportional to 8,854,171 and 19,348,566

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Solution

The third proportional to 8,854,171 and 19,348,566 is: 42,281,429.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,854,171 : 19,348,566 = 19,348,566 : x
  2. Step 2: Convert to fraction form
    8,854,171/19,348,566 = 19,348,566/x
  3. Step 3: Cross multiply
    8,854,171x = 19,348,566 × 19,348,566
  4. Step 4: Simplify right side
    8,854,171x = 374,367,006,256,356
  5. Step 5: Solve for x
    x = 374,367,006,256,356/8,854,171
  6. Step 6: Final answer
    x = 42,281,429.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.