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Finding the Third Proportional to 67,027,985 and 144,637,036

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Solution

The third proportional to 67,027,985 and 144,637,036 is: 312,106,535.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,027,985 : 144,637,036 = 144,637,036 : x
  2. Step 2: Convert to fraction form
    67,027,985/144,637,036 = 144,637,036/x
  3. Step 3: Cross multiply
    67,027,985x = 144,637,036 × 144,637,036
  4. Step 4: Simplify right side
    67,027,985x = 20,919,872,182,865,296
  5. Step 5: Solve for x
    x = 20,919,872,182,865,296/67,027,985
  6. Step 6: Final answer
    x = 312,106,535.54

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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.