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Finding the Third Proportional to 10,933,290,832 and 16,328,291,344

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Solution

The third proportional to 10,933,290,832 and 16,328,291,344 is: 24,385,439,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,933,290,832 : 16,328,291,344 = 16,328,291,344 : x
  2. Step 2: Convert to fraction form
    10,933,290,832/16,328,291,344 = 16,328,291,344/x
  3. Step 3: Cross multiply
    10,933,290,832x = 16,328,291,344 × 16,328,291,344
  4. Step 4: Simplify right side
    10,933,290,832x = 266,613,098,214,545,326,080
  5. Step 5: Solve for x
    x = 266,613,098,214,545,326,080/10,933,290,832
  6. Step 6: Final answer
    x = 24,385,439,142.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.