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Finding the Third Proportional to 67,027,977 and 144,637,020

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Solution

The third proportional to 67,027,977 and 144,637,020 is: 312,106,503.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,027,977 : 144,637,020 = 144,637,020 : x
  2. Step 2: Convert to fraction form
    67,027,977/144,637,020 = 144,637,020/x
  3. Step 3: Cross multiply
    67,027,977x = 144,637,020 × 144,637,020
  4. Step 4: Simplify right side
    67,027,977x = 20,919,867,554,480,400
  5. Step 5: Solve for x
    x = 20,919,867,554,480,400/67,027,977
  6. Step 6: Final answer
    x = 312,106,503.74

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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.