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Finding the Third Proportional to 37,012,971 and 80,203,506

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Solution

The third proportional to 37,012,971 and 80,203,506 is: 173,793,191.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,012,971 : 80,203,506 = 80,203,506 : x
  2. Step 2: Convert to fraction form
    37,012,971/80,203,506 = 80,203,506/x
  3. Step 3: Cross multiply
    37,012,971x = 80,203,506 × 80,203,506
  4. Step 4: Simplify right side
    37,012,971x = 6,432,602,374,692,036
  5. Step 5: Solve for x
    x = 6,432,602,374,692,036/37,012,971
  6. Step 6: Final answer
    x = 173,793,191.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.