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Finding the Third Proportional to 37,896,135 and 57,553,438.50

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Solution

The third proportional to 37,896,135 and 57,553,438.50 is: 87,407,285.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,896,135 : 57,553,438.50 = 57,553,438.50 : x
  2. Step 2: Convert to fraction form
    37,896,135/57,553,438.50 = 57,553,438.50/x
  3. Step 3: Cross multiply
    37,896,135x = 57,553,438.50 × 57,553,438.50
  4. Step 4: Simplify right side
    37,896,135x = 3,312,398,283,173,282
  5. Step 5: Solve for x
    x = 3,312,398,283,173,282/37,896,135
  6. Step 6: Final answer
    x = 87,407,285.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.