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Finding the Third Proportional to 37,370,871 and 80,328,798

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Solution

The third proportional to 37,370,871 and 80,328,798 is: 172,666,989.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,370,871 : 80,328,798 = 80,328,798 : x
  2. Step 2: Convert to fraction form
    37,370,871/80,328,798 = 80,328,798/x
  3. Step 3: Cross multiply
    37,370,871x = 80,328,798 × 80,328,798
  4. Step 4: Simplify right side
    37,370,871x = 6,452,715,788,124,804
  5. Step 5: Solve for x
    x = 6,452,715,788,124,804/37,370,871
  6. Step 6: Final answer
    x = 172,666,989.43

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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.