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Finding the Third Proportional to 21,638,580 and 45,691,614

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Solution

The third proportional to 21,638,580 and 45,691,614 is: 96,481,543.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,638,580 : 45,691,614 = 45,691,614 : x
  2. Step 2: Convert to fraction form
    21,638,580/45,691,614 = 45,691,614/x
  3. Step 3: Cross multiply
    21,638,580x = 45,691,614 × 45,691,614
  4. Step 4: Simplify right side
    21,638,580x = 2,087,723,589,924,996
  5. Step 5: Solve for x
    x = 2,087,723,589,924,996/21,638,580
  6. Step 6: Final answer
    x = 96,481,543.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.