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Finding the Third Proportional to 9,924,821 and 21,498,459

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Solution

The third proportional to 9,924,821 and 21,498,459 is: 46,568,471.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924,821 : 21,498,459 = 21,498,459 : x
  2. Step 2: Convert to fraction form
    9,924,821/21,498,459 = 21,498,459/x
  3. Step 3: Cross multiply
    9,924,821x = 21,498,459 × 21,498,459
  4. Step 4: Simplify right side
    9,924,821x = 462,183,739,374,681
  5. Step 5: Solve for x
    x = 462,183,739,374,681/9,924,821
  6. Step 6: Final answer
    x = 46,568,471.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.