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Finding the Third Proportional to 872,140,428.75 and 1,340,540,234.25

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Solution

The third proportional to 872,140,428.75 and 1,340,540,234.25 is: 2,060,503,171.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,140,428.75 : 1,340,540,234.25 = 1,340,540,234.25 : x
  2. Step 2: Convert to fraction form
    872,140,428.75/1,340,540,234.25 = 1,340,540,234.25/x
  3. Step 3: Cross multiply
    872,140,428.75x = 1,340,540,234.25 × 1,340,540,234.25
  4. Step 4: Simplify right side
    872,140,428.75x = 1,797,048,119,643,044,864
  5. Step 5: Solve for x
    x = 1,797,048,119,643,044,864/872,140,428.75
  6. Step 6: Final answer
    x = 2,060,503,171.74

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Why These Related Problems?

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