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Finding the Third Proportional to 9,735,327 and 20,773,678

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Solution

The third proportional to 9,735,327 and 20,773,678 is: 44,327,807.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735,327 : 20,773,678 = 20,773,678 : x
  2. Step 2: Convert to fraction form
    9,735,327/20,773,678 = 20,773,678/x
  3. Step 3: Cross multiply
    9,735,327x = 20,773,678 × 20,773,678
  4. Step 4: Simplify right side
    9,735,327x = 431,545,697,647,684
  5. Step 5: Solve for x
    x = 431,545,697,647,684/9,735,327
  6. Step 6: Final answer
    x = 44,327,807.13

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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.