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Finding the Third Proportional to 5,815,543.50 and 12,688,596

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Solution

The third proportional to 5,815,543.50 and 12,688,596 is: 27,684,509.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815,543.50 : 12,688,596 = 12,688,596 : x
  2. Step 2: Convert to fraction form
    5,815,543.50/12,688,596 = 12,688,596/x
  3. Step 3: Cross multiply
    5,815,543.50x = 12,688,596 × 12,688,596
  4. Step 4: Simplify right side
    5,815,543.50x = 161,000,468,451,216
  5. Step 5: Solve for x
    x = 161,000,468,451,216/5,815,543.50
  6. Step 6: Final answer
    x = 27,684,509.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.