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Finding the Third Proportional to 5,740,920 and 8,889,216

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Solution

The third proportional to 5,740,920 and 8,889,216 is: 13,764,024.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740,920 : 8,889,216 = 8,889,216 : x
  2. Step 2: Convert to fraction form
    5,740,920/8,889,216 = 8,889,216/x
  3. Step 3: Cross multiply
    5,740,920x = 8,889,216 × 8,889,216
  4. Step 4: Simplify right side
    5,740,920x = 79,018,161,094,656
  5. Step 5: Solve for x
    x = 79,018,161,094,656/5,740,920
  6. Step 6: Final answer
    x = 13,764,024.08

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