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Finding the Third Proportional to 7,838,422 and 15,991,774

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Solution

The third proportional to 7,838,422 and 15,991,774 is: 32,626,061.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838,422 : 15,991,774 = 15,991,774 : x
  2. Step 2: Convert to fraction form
    7,838,422/15,991,774 = 15,991,774/x
  3. Step 3: Cross multiply
    7,838,422x = 15,991,774 × 15,991,774
  4. Step 4: Simplify right side
    7,838,422x = 255,736,835,667,076
  5. Step 5: Solve for x
    x = 255,736,835,667,076/7,838,422
  6. Step 6: Final answer
    x = 32,626,061.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.