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Finding the Third Proportional to 30,337,294 and 66,858,822

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Solution

The third proportional to 30,337,294 and 66,858,822 is: 147,346,763.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,337,294 : 66,858,822 = 66,858,822 : x
  2. Step 2: Convert to fraction form
    30,337,294/66,858,822 = 66,858,822/x
  3. Step 3: Cross multiply
    30,337,294x = 66,858,822 × 66,858,822
  4. Step 4: Simplify right side
    30,337,294x = 4,470,102,079,227,684
  5. Step 5: Solve for x
    x = 4,470,102,079,227,684/30,337,294
  6. Step 6: Final answer
    x = 147,346,763.33

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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.