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Finding the Third Proportional to 3,749,010,543 and 8,062,234,281

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Solution

The third proportional to 3,749,010,543 and 8,062,234,281 is: 17,337,807,097.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749,010,543 : 8,062,234,281 = 8,062,234,281 : x
  2. Step 2: Convert to fraction form
    3,749,010,543/8,062,234,281 = 8,062,234,281/x
  3. Step 3: Cross multiply
    3,749,010,543x = 8,062,234,281 × 8,062,234,281
  4. Step 4: Simplify right side
    3,749,010,543x = 64,999,621,601,731,584,000
  5. Step 5: Solve for x
    x = 64,999,621,601,731,584,000/3,749,010,543
  6. Step 6: Final answer
    x = 17,337,807,097.69

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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.