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Finding the Third Proportional to 5,982,410 and 9,280,911

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Solution

The third proportional to 5,982,410 and 9,280,911 is: 14,398,095.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982,410 : 9,280,911 = 9,280,911 : x
  2. Step 2: Convert to fraction form
    5,982,410/9,280,911 = 9,280,911/x
  3. Step 3: Cross multiply
    5,982,410x = 9,280,911 × 9,280,911
  4. Step 4: Simplify right side
    5,982,410x = 86,135,308,989,921
  5. Step 5: Solve for x
    x = 86,135,308,989,921/5,982,410
  6. Step 6: Final answer
    x = 14,398,095.25

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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.