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Finding the Third Proportional to 10,205,367.19 and 15,801,697.69

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Solution

The third proportional to 10,205,367.19 and 15,801,697.69 is: 24,466,895.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205,367.19 : 15,801,697.69 = 15,801,697.69 : x
  2. Step 2: Convert to fraction form
    10,205,367.19/15,801,697.69 = 15,801,697.69/x
  3. Step 3: Cross multiply
    10,205,367.19x = 15,801,697.69 × 15,801,697.69
  4. Step 4: Simplify right side
    10,205,367.19x = 249,693,649,807,142.84
  5. Step 5: Solve for x
    x = 249,693,649,807,142.84/10,205,367.19
  6. Step 6: Final answer
    x = 24,466,895.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.