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Finding the Third Proportional to 64,745,352 and 135,476,928

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Solution

The third proportional to 64,745,352 and 135,476,928 is: 283,479,778.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,745,352 : 135,476,928 = 135,476,928 : x
  2. Step 2: Convert to fraction form
    64,745,352/135,476,928 = 135,476,928/x
  3. Step 3: Cross multiply
    64,745,352x = 135,476,928 × 135,476,928
  4. Step 4: Simplify right side
    64,745,352x = 18,353,998,020,317,184
  5. Step 5: Solve for x
    x = 18,353,998,020,317,184/64,745,352
  6. Step 6: Final answer
    x = 283,479,778.14

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.