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Finding the Third Proportional to 67,027,984 and 144,637,034

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Solution

The third proportional to 67,027,984 and 144,637,034 is: 312,106,531.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,027,984 : 144,637,034 = 144,637,034 : x
  2. Step 2: Convert to fraction form
    67,027,984/144,637,034 = 144,637,034/x
  3. Step 3: Cross multiply
    67,027,984x = 144,637,034 × 144,637,034
  4. Step 4: Simplify right side
    67,027,984x = 20,919,871,604,317,156
  5. Step 5: Solve for x
    x = 20,919,871,604,317,156/67,027,984
  6. Step 6: Final answer
    x = 312,106,531.57

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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.