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Finding the Third Proportional to 5,039,532 and 7,782,090

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Solution

The third proportional to 5,039,532 and 7,782,090 is: 12,017,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,039,532 : 7,782,090 = 7,782,090 : x
  2. Step 2: Convert to fraction form
    5,039,532/7,782,090 = 7,782,090/x
  3. Step 3: Cross multiply
    5,039,532x = 7,782,090 × 7,782,090
  4. Step 4: Simplify right side
    5,039,532x = 60,560,924,768,100
  5. Step 5: Solve for x
    x = 60,560,924,768,100/5,039,532
  6. Step 6: Final answer
    x = 12,017,172.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.