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Finding the Third Proportional to 870,120,690.75 and 1,380,065,434.88

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Solution

The third proportional to 870,120,690.75 and 1,380,065,434.88 is: 2,188,869,457.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,120,690.75 : 1,380,065,434.88 = 1,380,065,434.88 : x
  2. Step 2: Convert to fraction form
    870,120,690.75/1,380,065,434.88 = 1,380,065,434.88/x
  3. Step 3: Cross multiply
    870,120,690.75x = 1,380,065,434.88 × 1,380,065,434.88
  4. Step 4: Simplify right side
    870,120,690.75x = 1,904,580,604,536,722,944
  5. Step 5: Solve for x
    x = 1,904,580,604,536,722,944/870,120,690.75
  6. Step 6: Final answer
    x = 2,188,869,457.75

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.