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Finding the Third Proportional to 7,872,234 and 12,854,649

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Solution

The third proportional to 7,872,234 and 12,854,649 is: 20,990,483.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872,234 : 12,854,649 = 12,854,649 : x
  2. Step 2: Convert to fraction form
    7,872,234/12,854,649 = 12,854,649/x
  3. Step 3: Cross multiply
    7,872,234x = 12,854,649 × 12,854,649
  4. Step 4: Simplify right side
    7,872,234x = 165,242,000,913,201
  5. Step 5: Solve for x
    x = 165,242,000,913,201/7,872,234
  6. Step 6: Final answer
    x = 20,990,483.88

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.