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Finding the Third Proportional to 21,681,982 and 42,815,612

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Solution

The third proportional to 21,681,982 and 42,815,612 is: 84,548,388.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,681,982 : 42,815,612 = 42,815,612 : x
  2. Step 2: Convert to fraction form
    21,681,982/42,815,612 = 42,815,612/x
  3. Step 3: Cross multiply
    21,681,982x = 42,815,612 × 42,815,612
  4. Step 4: Simplify right side
    21,681,982x = 1,833,176,630,934,544
  5. Step 5: Solve for x
    x = 1,833,176,630,934,544/21,681,982
  6. Step 6: Final answer
    x = 84,548,388.19

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.