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Finding the Third Proportional to 4,973,443.03 and 7,478,634.45

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Solution

The third proportional to 4,973,443.03 and 7,478,634.45 is: 11,245,725.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973,443.03 : 7,478,634.45 = 7,478,634.45 : x
  2. Step 2: Convert to fraction form
    4,973,443.03/7,478,634.45 = 7,478,634.45/x
  3. Step 3: Cross multiply
    4,973,443.03x = 7,478,634.45 × 7,478,634.45
  4. Step 4: Simplify right side
    4,973,443.03x = 55,929,973,166,614.60
  5. Step 5: Solve for x
    x = 55,929,973,166,614.60/4,973,443.03
  6. Step 6: Final answer
    x = 11,245,725.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.