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Finding the Third Proportional to 37,461,312 and 81,729,180

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Solution

The third proportional to 37,461,312 and 81,729,180 is: 178,308,193.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,461,312 : 81,729,180 = 81,729,180 : x
  2. Step 2: Convert to fraction form
    37,461,312/81,729,180 = 81,729,180/x
  3. Step 3: Cross multiply
    37,461,312x = 81,729,180 × 81,729,180
  4. Step 4: Simplify right side
    37,461,312x = 6,679,658,863,472,400
  5. Step 5: Solve for x
    x = 6,679,658,863,472,400/37,461,312
  6. Step 6: Final answer
    x = 178,308,193.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.