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Finding the Third Proportional to 35,866,824 and 74,285,757

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Solution

The third proportional to 35,866,824 and 74,285,757 is: 153,857,327.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,866,824 : 74,285,757 = 74,285,757 : x
  2. Step 2: Convert to fraction form
    35,866,824/74,285,757 = 74,285,757/x
  3. Step 3: Cross multiply
    35,866,824x = 74,285,757 × 74,285,757
  4. Step 4: Simplify right side
    35,866,824x = 5,518,373,693,063,049
  5. Step 5: Solve for x
    x = 5,518,373,693,063,049/35,866,824
  6. Step 6: Final answer
    x = 153,857,327.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.