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Finding the Third Proportional to 9,989,818 and 14,944,651

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Solution

The third proportional to 9,989,818 and 14,944,651 is: 22,357,023.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989,818 : 14,944,651 = 14,944,651 : x
  2. Step 2: Convert to fraction form
    9,989,818/14,944,651 = 14,944,651/x
  3. Step 3: Cross multiply
    9,989,818x = 14,944,651 × 14,944,651
  4. Step 4: Simplify right side
    9,989,818x = 223,342,593,511,801
  5. Step 5: Solve for x
    x = 223,342,593,511,801/9,989,818
  6. Step 6: Final answer
    x = 22,357,023.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.