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Finding the Third Proportional to 5,959,334 and 9,225,680

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Solution

The third proportional to 5,959,334 and 9,225,680 is: 14,282,329.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959,334 : 9,225,680 = 9,225,680 : x
  2. Step 2: Convert to fraction form
    5,959,334/9,225,680 = 9,225,680/x
  3. Step 3: Cross multiply
    5,959,334x = 9,225,680 × 9,225,680
  4. Step 4: Simplify right side
    5,959,334x = 85,113,171,462,400
  5. Step 5: Solve for x
    x = 85,113,171,462,400/5,959,334
  6. Step 6: Final answer
    x = 14,282,329.45

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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.