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Finding the Third Proportional to 5,043,822 and 8,029,633.50

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Solution

The third proportional to 5,043,822 and 8,029,633.50 is: 12,782,967.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,043,822 : 8,029,633.50 = 8,029,633.50 : x
  2. Step 2: Convert to fraction form
    5,043,822/8,029,633.50 = 8,029,633.50/x
  3. Step 3: Cross multiply
    5,043,822x = 8,029,633.50 × 8,029,633.50
  4. Step 4: Simplify right side
    5,043,822x = 64,475,014,144,322.25
  5. Step 5: Solve for x
    x = 64,475,014,144,322.25/5,043,822
  6. Step 6: Final answer
    x = 12,782,967.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.