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Finding the Third Proportional to 35,284,720 and 76,432,668

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Solution

The third proportional to 35,284,720 and 76,432,668 is: 165,566,078.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,284,720 : 76,432,668 = 76,432,668 : x
  2. Step 2: Convert to fraction form
    35,284,720/76,432,668 = 76,432,668/x
  3. Step 3: Cross multiply
    35,284,720x = 76,432,668 × 76,432,668
  4. Step 4: Simplify right side
    35,284,720x = 5,841,952,737,598,224
  5. Step 5: Solve for x
    x = 5,841,952,737,598,224/35,284,720
  6. Step 6: Final answer
    x = 165,566,078.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.