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Finding the Third Proportional to 2,046,814,902 and 3,144,158,050.50

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Solution

The third proportional to 2,046,814,902 and 3,144,158,050.50 is: 4,829,811,350.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046,814,902 : 3,144,158,050.50 = 3,144,158,050.50 : x
  2. Step 2: Convert to fraction form
    2,046,814,902/3,144,158,050.50 = 3,144,158,050.50/x
  3. Step 3: Cross multiply
    2,046,814,902x = 3,144,158,050.50 × 3,144,158,050.50
  4. Step 4: Simplify right side
    2,046,814,902x = 9,885,729,846,523,961,344
  5. Step 5: Solve for x
    x = 9,885,729,846,523,961,344/2,046,814,902
  6. Step 6: Final answer
    x = 4,829,811,350.73

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.