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Finding the Third Proportional to 9,180,506 and 20,172,820

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Solution

The third proportional to 9,180,506 and 20,172,820 is: 44,326,823.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180,506 : 20,172,820 = 20,172,820 : x
  2. Step 2: Convert to fraction form
    9,180,506/20,172,820 = 20,172,820/x
  3. Step 3: Cross multiply
    9,180,506x = 20,172,820 × 20,172,820
  4. Step 4: Simplify right side
    9,180,506x = 406,942,666,752,400
  5. Step 5: Solve for x
    x = 406,942,666,752,400/9,180,506
  6. Step 6: Final answer
    x = 44,326,823.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.