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Finding the Third Proportional to 37,865,267 and 82,938,202

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Solution

The third proportional to 37,865,267 and 82,938,202 is: 181,663,722.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,865,267 : 82,938,202 = 82,938,202 : x
  2. Step 2: Convert to fraction form
    37,865,267/82,938,202 = 82,938,202/x
  3. Step 3: Cross multiply
    37,865,267x = 82,938,202 × 82,938,202
  4. Step 4: Simplify right side
    37,865,267x = 6,878,745,350,992,804
  5. Step 5: Solve for x
    x = 6,878,745,350,992,804/37,865,267
  6. Step 6: Final answer
    x = 181,663,722.35

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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.