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Finding the Third Proportional to 21,681,983 and 42,815,614

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Solution

The third proportional to 21,681,983 and 42,815,614 is: 84,548,392.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,681,983 : 42,815,614 = 42,815,614 : x
  2. Step 2: Convert to fraction form
    21,681,983/42,815,614 = 42,815,614/x
  3. Step 3: Cross multiply
    21,681,983x = 42,815,614 × 42,815,614
  4. Step 4: Simplify right side
    21,681,983x = 1,833,176,802,196,996
  5. Step 5: Solve for x
    x = 1,833,176,802,196,996/21,681,983
  6. Step 6: Final answer
    x = 84,548,392.19

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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.