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Finding the Third Proportional to 37,941,312 and 81,637,121.50

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Solution

The third proportional to 37,941,312 and 81,637,121.50 is: 175,656,013.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,941,312 : 81,637,121.50 = 81,637,121.50 : x
  2. Step 2: Convert to fraction form
    37,941,312/81,637,121.50 = 81,637,121.50/x
  3. Step 3: Cross multiply
    37,941,312x = 81,637,121.50 × 81,637,121.50
  4. Step 4: Simplify right side
    37,941,312x = 6,664,619,606,805,762
  5. Step 5: Solve for x
    x = 6,664,619,606,805,762/37,941,312
  6. Step 6: Final answer
    x = 175,656,013.34

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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.