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Finding the Third Proportional to 32,734,058.50 and 49,237,753.50

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Solution

The third proportional to 32,734,058.50 and 49,237,753.50 is: 74,062,199.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,734,058.50 : 49,237,753.50 = 49,237,753.50 : x
  2. Step 2: Convert to fraction form
    32,734,058.50/49,237,753.50 = 49,237,753.50/x
  3. Step 3: Cross multiply
    32,734,058.50x = 49,237,753.50 × 49,237,753.50
  4. Step 4: Simplify right side
    32,734,058.50x = 2,424,356,369,726,762
  5. Step 5: Solve for x
    x = 2,424,356,369,726,762/32,734,058.50
  6. Step 6: Final answer
    x = 74,062,199.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.