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Finding the Third Proportional to 4,176,182 and 9,119,380

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Solution

The third proportional to 4,176,182 and 9,119,380 is: 19,913,665.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176,182 : 9,119,380 = 9,119,380 : x
  2. Step 2: Convert to fraction form
    4,176,182/9,119,380 = 9,119,380/x
  3. Step 3: Cross multiply
    4,176,182x = 9,119,380 × 9,119,380
  4. Step 4: Simplify right side
    4,176,182x = 83,163,091,584,400
  5. Step 5: Solve for x
    x = 83,163,091,584,400/4,176,182
  6. Step 6: Final answer
    x = 19,913,665.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.