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Finding the Third Proportional to 34,550,306 and 75,609,156

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Solution

The third proportional to 34,550,306 and 75,609,156 is: 165,461,471.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,550,306 : 75,609,156 = 75,609,156 : x
  2. Step 2: Convert to fraction form
    34,550,306/75,609,156 = 75,609,156/x
  3. Step 3: Cross multiply
    34,550,306x = 75,609,156 × 75,609,156
  4. Step 4: Simplify right side
    34,550,306x = 5,716,744,471,032,336
  5. Step 5: Solve for x
    x = 5,716,744,471,032,336/34,550,306
  6. Step 6: Final answer
    x = 165,461,471.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.