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Finding the Third Proportional to 30,176,352 and 61,747,200

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Solution

The third proportional to 30,176,352 and 61,747,200 is: 126,347,833.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,176,352 : 61,747,200 = 61,747,200 : x
  2. Step 2: Convert to fraction form
    30,176,352/61,747,200 = 61,747,200/x
  3. Step 3: Cross multiply
    30,176,352x = 61,747,200 × 61,747,200
  4. Step 4: Simplify right side
    30,176,352x = 3,812,716,707,840,000
  5. Step 5: Solve for x
    x = 3,812,716,707,840,000/30,176,352
  6. Step 6: Final answer
    x = 126,347,833.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.