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Finding the Third Proportional to 10,150,099 and 15,740,541

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Solution

The third proportional to 10,150,099 and 15,740,541 is: 24,410,070.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,150,099 : 15,740,541 = 15,740,541 : x
  2. Step 2: Convert to fraction form
    10,150,099/15,740,541 = 15,740,541/x
  3. Step 3: Cross multiply
    10,150,099x = 15,740,541 × 15,740,541
  4. Step 4: Simplify right side
    10,150,099x = 247,764,630,972,681
  5. Step 5: Solve for x
    x = 247,764,630,972,681/10,150,099
  6. Step 6: Final answer
    x = 24,410,070.38

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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.