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Finding the Third Proportional to 35,866,826 and 74,285,761

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Solution

The third proportional to 35,866,826 and 74,285,761 is: 153,857,335.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,866,826 : 74,285,761 = 74,285,761 : x
  2. Step 2: Convert to fraction form
    35,866,826/74,285,761 = 74,285,761/x
  3. Step 3: Cross multiply
    35,866,826x = 74,285,761 × 74,285,761
  4. Step 4: Simplify right side
    35,866,826x = 5,518,374,287,349,121
  5. Step 5: Solve for x
    x = 5,518,374,287,349,121/35,866,826
  6. Step 6: Final answer
    x = 153,857,335.67

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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.