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Finding the Third Proportional to 10,077,698 and 15,303,171

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Solution

The third proportional to 10,077,698 and 15,303,171 is: 23,238,148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077,698 : 15,303,171 = 15,303,171 : x
  2. Step 2: Convert to fraction form
    10,077,698/15,303,171 = 15,303,171/x
  3. Step 3: Cross multiply
    10,077,698x = 15,303,171 × 15,303,171
  4. Step 4: Simplify right side
    10,077,698x = 234,187,042,655,241
  5. Step 5: Solve for x
    x = 234,187,042,655,241/10,077,698
  6. Step 6: Final answer
    x = 23,238,148.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.