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Finding the Third Proportional to 16,795,119,312 and 36,082,679,683.50

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Solution

The third proportional to 16,795,119,312 and 36,082,679,683.50 is: 77,520,126,469.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,795,119,312 : 36,082,679,683.50 = 36,082,679,683.50 : x
  2. Step 2: Convert to fraction form
    16,795,119,312/36,082,679,683.50 = 36,082,679,683.50/x
  3. Step 3: Cross multiply
    16,795,119,312x = 36,082,679,683.50 × 36,082,679,683.50
  4. Step 4: Simplify right side
    16,795,119,312x = 1,301,959,773,142,063,775,744
  5. Step 5: Solve for x
    x = 1,301,959,773,142,063,775,744/16,795,119,312
  6. Step 6: Final answer
    x = 77,520,126,469.83

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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.