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Finding the Third Proportional to 5,099,133.94 and 7,907,193.84

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Solution

The third proportional to 5,099,133.94 and 7,907,193.84 is: 12,261,634.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099,133.94 : 7,907,193.84 = 7,907,193.84 : x
  2. Step 2: Convert to fraction form
    5,099,133.94/7,907,193.84 = 7,907,193.84/x
  3. Step 3: Cross multiply
    5,099,133.94x = 7,907,193.84 × 7,907,193.84
  4. Step 4: Simplify right side
    5,099,133.94x = 62,523,714,482,637.90
  5. Step 5: Solve for x
    x = 62,523,714,482,637.90/5,099,133.94
  6. Step 6: Final answer
    x = 12,261,634.08

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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.