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Finding the Third Proportional to 12,355,770 and 25,734,217.50

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Solution

The third proportional to 12,355,770 and 25,734,217.50 is: 53,598,436.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,355,770 : 25,734,217.50 = 25,734,217.50 : x
  2. Step 2: Convert to fraction form
    12,355,770/25,734,217.50 = 25,734,217.50/x
  3. Step 3: Cross multiply
    12,355,770x = 25,734,217.50 × 25,734,217.50
  4. Step 4: Simplify right side
    12,355,770x = 662,249,950,337,306.25
  5. Step 5: Solve for x
    x = 662,249,950,337,306.25/12,355,770
  6. Step 6: Final answer
    x = 53,598,436.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.