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Finding the Third Proportional to 37,804,977 and 57,053,821.50

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Solution

The third proportional to 37,804,977 and 57,053,821.50 is: 86,103,439.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,804,977 : 57,053,821.50 = 57,053,821.50 : x
  2. Step 2: Convert to fraction form
    37,804,977/57,053,821.50 = 57,053,821.50/x
  3. Step 3: Cross multiply
    37,804,977x = 57,053,821.50 × 57,053,821.50
  4. Step 4: Simplify right side
    37,804,977x = 3,255,138,547,753,862
  5. Step 5: Solve for x
    x = 3,255,138,547,753,862/37,804,977
  6. Step 6: Final answer
    x = 86,103,439.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.