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Finding the Third Proportional to 34,455,698 and 75,703,948

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Solution

The third proportional to 34,455,698 and 75,703,948 is: 166,332,074.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,455,698 : 75,703,948 = 75,703,948 : x
  2. Step 2: Convert to fraction form
    34,455,698/75,703,948 = 75,703,948/x
  3. Step 3: Cross multiply
    34,455,698x = 75,703,948 × 75,703,948
  4. Step 4: Simplify right side
    34,455,698x = 5,731,087,742,786,704
  5. Step 5: Solve for x
    x = 5,731,087,742,786,704/34,455,698
  6. Step 6: Final answer
    x = 166,332,074.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.