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Finding the Third Proportional to 24,675,475.50 and 34,496,041.50

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Solution

The third proportional to 24,675,475.50 and 34,496,041.50 is: 48,225,084.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,675,475.50 : 34,496,041.50 = 34,496,041.50 : x
  2. Step 2: Convert to fraction form
    24,675,475.50/34,496,041.50 = 34,496,041.50/x
  3. Step 3: Cross multiply
    24,675,475.50x = 34,496,041.50 × 34,496,041.50
  4. Step 4: Simplify right side
    24,675,475.50x = 1,189,976,879,169,722.25
  5. Step 5: Solve for x
    x = 1,189,976,879,169,722.25/24,675,475.50
  6. Step 6: Final answer
    x = 48,225,084.02

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.