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Finding the Third Proportional to 67,327,184 and 145,416,026

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Solution

The third proportional to 67,327,184 and 145,416,026 is: 314,075,524.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,327,184 : 145,416,026 = 145,416,026 : x
  2. Step 2: Convert to fraction form
    67,327,184/145,416,026 = 145,416,026/x
  3. Step 3: Cross multiply
    67,327,184x = 145,416,026 × 145,416,026
  4. Step 4: Simplify right side
    67,327,184x = 21,145,820,617,632,676
  5. Step 5: Solve for x
    x = 21,145,820,617,632,676/67,327,184
  6. Step 6: Final answer
    x = 314,075,524.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.