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Finding the Third Proportional to 679,216,069.75 and 1,467,487,373.50

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Solution

The third proportional to 679,216,069.75 and 1,467,487,373.50 is: 3,170,595,171.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,216,069.75 : 1,467,487,373.50 = 1,467,487,373.50 : x
  2. Step 2: Convert to fraction form
    679,216,069.75/1,467,487,373.50 = 1,467,487,373.50/x
  3. Step 3: Cross multiply
    679,216,069.75x = 1,467,487,373.50 × 1,467,487,373.50
  4. Step 4: Simplify right side
    679,216,069.75x = 2,153,519,191,381,928,448
  5. Step 5: Solve for x
    x = 2,153,519,191,381,928,448/679,216,069.75
  6. Step 6: Final answer
    x = 3,170,595,171.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.