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Finding the Third Proportional to 9,793,577 and 15,441,573

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Solution

The third proportional to 9,793,577 and 15,441,573 is: 24,346,791.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793,577 : 15,441,573 = 15,441,573 : x
  2. Step 2: Convert to fraction form
    9,793,577/15,441,573 = 15,441,573/x
  3. Step 3: Cross multiply
    9,793,577x = 15,441,573 × 15,441,573
  4. Step 4: Simplify right side
    9,793,577x = 238,442,176,714,329
  5. Step 5: Solve for x
    x = 238,442,176,714,329/9,793,577
  6. Step 6: Final answer
    x = 24,346,791.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.