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Finding the Third Proportional to 10,933,292,169 and 16,328,293,227

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Solution

The third proportional to 10,933,292,169 and 16,328,293,227 is: 24,385,441,785.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,933,292,169 : 16,328,293,227 = 16,328,293,227 : x
  2. Step 2: Convert to fraction form
    10,933,292,169/16,328,293,227 = 16,328,293,227/x
  3. Step 3: Cross multiply
    10,933,292,169x = 16,328,293,227 × 16,328,293,227
  4. Step 4: Simplify right side
    10,933,292,169x = 266,613,159,706,894,073,856
  5. Step 5: Solve for x
    x = 266,613,159,706,894,073,856/10,933,292,169
  6. Step 6: Final answer
    x = 24,385,441,785.12

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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.