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Finding the Third Proportional to 12,385,533 and 25,900,378.50

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Solution

The third proportional to 12,385,533 and 25,900,378.50 is: 54,162,352.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385,533 : 25,900,378.50 = 25,900,378.50 : x
  2. Step 2: Convert to fraction form
    12,385,533/25,900,378.50 = 25,900,378.50/x
  3. Step 3: Cross multiply
    12,385,533x = 25,900,378.50 × 25,900,378.50
  4. Step 4: Simplify right side
    12,385,533x = 670,829,606,443,262.25
  5. Step 5: Solve for x
    x = 670,829,606,443,262.25/12,385,533
  6. Step 6: Final answer
    x = 54,162,352.68

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.