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Finding the Third Proportional to 7,872,233 and 12,854,647.50

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Solution

The third proportional to 7,872,233 and 12,854,647.50 is: 20,990,481.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872,233 : 12,854,647.50 = 12,854,647.50 : x
  2. Step 2: Convert to fraction form
    7,872,233/12,854,647.50 = 12,854,647.50/x
  3. Step 3: Cross multiply
    7,872,233x = 12,854,647.50 × 12,854,647.50
  4. Step 4: Simplify right side
    7,872,233x = 165,241,962,349,256.25
  5. Step 5: Solve for x
    x = 165,241,962,349,256.25/7,872,233
  6. Step 6: Final answer
    x = 20,990,481.65

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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.