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Finding the Third Proportional to 35,285,784 and 76,435,928

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Solution

The third proportional to 35,285,784 and 76,435,928 is: 165,575,209.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,285,784 : 76,435,928 = 76,435,928 : x
  2. Step 2: Convert to fraction form
    35,285,784/76,435,928 = 76,435,928/x
  3. Step 3: Cross multiply
    35,285,784x = 76,435,928 × 76,435,928
  4. Step 4: Simplify right side
    35,285,784x = 5,842,451,089,221,184
  5. Step 5: Solve for x
    x = 5,842,451,089,221,184/35,285,784
  6. Step 6: Final answer
    x = 165,575,209.81

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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.