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Finding the Third Proportional to 4,921,924.50 and 7,703,464.50

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Solution

The third proportional to 4,921,924.50 and 7,703,464.50 is: 12,056,943.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921,924.50 : 7,703,464.50 = 7,703,464.50 : x
  2. Step 2: Convert to fraction form
    4,921,924.50/7,703,464.50 = 7,703,464.50/x
  3. Step 3: Cross multiply
    4,921,924.50x = 7,703,464.50 × 7,703,464.50
  4. Step 4: Simplify right side
    4,921,924.50x = 59,343,365,302,760.25
  5. Step 5: Solve for x
    x = 59,343,365,302,760.25/4,921,924.50
  6. Step 6: Final answer
    x = 12,056,943.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.