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Finding the Third Proportional to 25,683,723 and 35,218,624.50

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Solution

The third proportional to 25,683,723 and 35,218,624.50 is: 48,293,291.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,683,723 : 35,218,624.50 = 35,218,624.50 : x
  2. Step 2: Convert to fraction form
    25,683,723/35,218,624.50 = 35,218,624.50/x
  3. Step 3: Cross multiply
    25,683,723x = 35,218,624.50 × 35,218,624.50
  4. Step 4: Simplify right side
    25,683,723x = 1,240,351,511,672,000.25
  5. Step 5: Solve for x
    x = 1,240,351,511,672,000.25/25,683,723
  6. Step 6: Final answer
    x = 48,293,291.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.