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Finding the Third Proportional to 8,373,900,658.50 and 12,964,641,171.75

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Solution

The third proportional to 8,373,900,658.50 and 12,964,641,171.75 is: 20,072,117,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,373,900,658.50 : 12,964,641,171.75 = 12,964,641,171.75 : x
  2. Step 2: Convert to fraction form
    8,373,900,658.50/12,964,641,171.75 = 12,964,641,171.75/x
  3. Step 3: Cross multiply
    8,373,900,658.50x = 12,964,641,171.75 × 12,964,641,171.75
  4. Step 4: Simplify right side
    8,373,900,658.50x = 168,081,920,712,235,220,992
  5. Step 5: Solve for x
    x = 168,081,920,712,235,220,992/8,373,900,658.50
  6. Step 6: Final answer
    x = 20,072,117,829.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.