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Finding the Third Proportional to 4,666,125 and 9,704,721

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Solution

The third proportional to 4,666,125 and 9,704,721 is: 20,184,116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666,125 : 9,704,721 = 9,704,721 : x
  2. Step 2: Convert to fraction form
    4,666,125/9,704,721 = 9,704,721/x
  3. Step 3: Cross multiply
    4,666,125x = 9,704,721 × 9,704,721
  4. Step 4: Simplify right side
    4,666,125x = 94,181,609,687,841
  5. Step 5: Solve for x
    x = 94,181,609,687,841/4,666,125
  6. Step 6: Final answer
    x = 20,184,116.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.