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Finding the Third Proportional to 5,838,527 and 9,297,434

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Solution

The third proportional to 5,838,527 and 9,297,434 is: 14,805,494.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838,527 : 9,297,434 = 9,297,434 : x
  2. Step 2: Convert to fraction form
    5,838,527/9,297,434 = 9,297,434/x
  3. Step 3: Cross multiply
    5,838,527x = 9,297,434 × 9,297,434
  4. Step 4: Simplify right side
    5,838,527x = 86,442,278,984,356
  5. Step 5: Solve for x
    x = 86,442,278,984,356/5,838,527
  6. Step 6: Final answer
    x = 14,805,494.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.