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Finding the Third Proportional to 37,941,314 and 81,637,128

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Solution

The third proportional to 37,941,314 and 81,637,128 is: 175,656,032.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,941,314 : 81,637,128 = 81,637,128 : x
  2. Step 2: Convert to fraction form
    37,941,314/81,637,128 = 81,637,128/x
  3. Step 3: Cross multiply
    37,941,314x = 81,637,128 × 81,637,128
  4. Step 4: Simplify right side
    37,941,314x = 6,664,620,668,088,384
  5. Step 5: Solve for x
    x = 6,664,620,668,088,384/37,941,314
  6. Step 6: Final answer
    x = 175,656,032.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.