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Finding the Third Proportional to 30,665,034 and 65,584,875

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Solution

The third proportional to 30,665,034 and 65,584,875 is: 140,269,723.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,665,034 : 65,584,875 = 65,584,875 : x
  2. Step 2: Convert to fraction form
    30,665,034/65,584,875 = 65,584,875/x
  3. Step 3: Cross multiply
    30,665,034x = 65,584,875 × 65,584,875
  4. Step 4: Simplify right side
    30,665,034x = 4,301,375,828,765,625
  5. Step 5: Solve for x
    x = 4,301,375,828,765,625/30,665,034
  6. Step 6: Final answer
    x = 140,269,723.12

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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.