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Finding the Third Proportional to 4,782,492 and 10,346,472

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Solution

The third proportional to 4,782,492 and 10,346,472 is: 22,383,619.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782,492 : 10,346,472 = 10,346,472 : x
  2. Step 2: Convert to fraction form
    4,782,492/10,346,472 = 10,346,472/x
  3. Step 3: Cross multiply
    4,782,492x = 10,346,472 × 10,346,472
  4. Step 4: Simplify right side
    4,782,492x = 107,049,482,846,784
  5. Step 5: Solve for x
    x = 107,049,482,846,784/4,782,492
  6. Step 6: Final answer
    x = 22,383,619.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.