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Finding the Third Proportional to 24,372,729 and 35,812,777.50

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Solution

The third proportional to 24,372,729 and 35,812,777.50 is: 52,622,545.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,372,729 : 35,812,777.50 = 35,812,777.50 : x
  2. Step 2: Convert to fraction form
    24,372,729/35,812,777.50 = 35,812,777.50/x
  3. Step 3: Cross multiply
    24,372,729x = 35,812,777.50 × 35,812,777.50
  4. Step 4: Simplify right side
    24,372,729x = 1,282,555,032,264,506.25
  5. Step 5: Solve for x
    x = 1,282,555,032,264,506.25/24,372,729
  6. Step 6: Final answer
    x = 52,622,545.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.