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Finding the Third Proportional to 9,681,905 and 20,857,598

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Solution

The third proportional to 9,681,905 and 20,857,598 is: 44,933,243.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681,905 : 20,857,598 = 20,857,598 : x
  2. Step 2: Convert to fraction form
    9,681,905/20,857,598 = 20,857,598/x
  3. Step 3: Cross multiply
    9,681,905x = 20,857,598 × 20,857,598
  4. Step 4: Simplify right side
    9,681,905x = 435,039,394,329,604
  5. Step 5: Solve for x
    x = 435,039,394,329,604/9,681,905
  6. Step 6: Final answer
    x = 44,933,243.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.