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Finding the Third Proportional to 9,815,914 and 20,996,518

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Solution

The third proportional to 9,815,914 and 20,996,518 is: 44,912,146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815,914 : 20,996,518 = 20,996,518 : x
  2. Step 2: Convert to fraction form
    9,815,914/20,996,518 = 20,996,518/x
  3. Step 3: Cross multiply
    9,815,914x = 20,996,518 × 20,996,518
  4. Step 4: Simplify right side
    9,815,914x = 440,853,768,124,324
  5. Step 5: Solve for x
    x = 440,853,768,124,324/9,815,914
  6. Step 6: Final answer
    x = 44,912,146.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.