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Finding the Third Proportional to 5,726,353.75 and 12,349,357

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Solution

The third proportional to 5,726,353.75 and 12,349,357 is: 26,632,413.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726,353.75 : 12,349,357 = 12,349,357 : x
  2. Step 2: Convert to fraction form
    5,726,353.75/12,349,357 = 12,349,357/x
  3. Step 3: Cross multiply
    5,726,353.75x = 12,349,357 × 12,349,357
  4. Step 4: Simplify right side
    5,726,353.75x = 152,506,618,313,449
  5. Step 5: Solve for x
    x = 152,506,618,313,449/5,726,353.75
  6. Step 6: Final answer
    x = 26,632,413.05

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