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Finding the Third Proportional to 9,451,984 and 20,733,920

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Solution

The third proportional to 9,451,984 and 20,733,920 is: 45,482,031.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451,984 : 20,733,920 = 20,733,920 : x
  2. Step 2: Convert to fraction form
    9,451,984/20,733,920 = 20,733,920/x
  3. Step 3: Cross multiply
    9,451,984x = 20,733,920 × 20,733,920
  4. Step 4: Simplify right side
    9,451,984x = 429,895,438,566,400
  5. Step 5: Solve for x
    x = 429,895,438,566,400/9,451,984
  6. Step 6: Final answer
    x = 45,482,031.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.