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Finding the Third Proportional to 9,735,323 and 20,773,671

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Solution

The third proportional to 9,735,323 and 20,773,671 is: 44,327,795.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735,323 : 20,773,671 = 20,773,671 : x
  2. Step 2: Convert to fraction form
    9,735,323/20,773,671 = 20,773,671/x
  3. Step 3: Cross multiply
    9,735,323x = 20,773,671 × 20,773,671
  4. Step 4: Simplify right side
    9,735,323x = 431,545,406,816,241
  5. Step 5: Solve for x
    x = 431,545,406,816,241/9,735,323
  6. Step 6: Final answer
    x = 44,327,795.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.