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Finding the Third Proportional to 37,865,262 and 82,938,192

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Solution

The third proportional to 37,865,262 and 82,938,192 is: 181,663,702.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,865,262 : 82,938,192 = 82,938,192 : x
  2. Step 2: Convert to fraction form
    37,865,262/82,938,192 = 82,938,192/x
  3. Step 3: Cross multiply
    37,865,262x = 82,938,192 × 82,938,192
  4. Step 4: Simplify right side
    37,865,262x = 6,878,743,692,228,864
  5. Step 5: Solve for x
    x = 6,878,743,692,228,864/37,865,262
  6. Step 6: Final answer
    x = 181,663,702.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.