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Finding the Third Proportional to 5,726,911 and 8,010,827.50

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Solution

The third proportional to 5,726,911 and 8,010,827.50 is: 11,205,579.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726,911 : 8,010,827.50 = 8,010,827.50 : x
  2. Step 2: Convert to fraction form
    5,726,911/8,010,827.50 = 8,010,827.50/x
  3. Step 3: Cross multiply
    5,726,911x = 8,010,827.50 × 8,010,827.50
  4. Step 4: Simplify right side
    5,726,911x = 64,173,357,234,756.25
  5. Step 5: Solve for x
    x = 64,173,357,234,756.25/5,726,911
  6. Step 6: Final answer
    x = 11,205,579.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.