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Finding the Third Proportional to 30,770,952 and 65,810,928

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Solution

The third proportional to 30,770,952 and 65,810,928 is: 140,752,169.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,770,952 : 65,810,928 = 65,810,928 : x
  2. Step 2: Convert to fraction form
    30,770,952/65,810,928 = 65,810,928/x
  3. Step 3: Cross multiply
    30,770,952x = 65,810,928 × 65,810,928
  4. Step 4: Simplify right side
    30,770,952x = 4,331,078,244,221,184
  5. Step 5: Solve for x
    x = 4,331,078,244,221,184/30,770,952
  6. Step 6: Final answer
    x = 140,752,169.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.