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Finding the Third Proportional to 67,327,179 and 145,416,018

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Solution

The third proportional to 67,327,179 and 145,416,018 is: 314,075,513.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,327,179 : 145,416,018 = 145,416,018 : x
  2. Step 2: Convert to fraction form
    67,327,179/145,416,018 = 145,416,018/x
  3. Step 3: Cross multiply
    67,327,179x = 145,416,018 × 145,416,018
  4. Step 4: Simplify right side
    67,327,179x = 21,145,818,290,976,324
  5. Step 5: Solve for x
    x = 21,145,818,290,976,324/67,327,179
  6. Step 6: Final answer
    x = 314,075,513.11

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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.