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Finding the Third Proportional to 10,627,782 and 16,919,127

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Solution

The third proportional to 10,627,782 and 16,919,127 is: 26,934,769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,627,782 : 16,919,127 = 16,919,127 : x
  2. Step 2: Convert to fraction form
    10,627,782/16,919,127 = 16,919,127/x
  3. Step 3: Cross multiply
    10,627,782x = 16,919,127 × 16,919,127
  4. Step 4: Simplify right side
    10,627,782x = 286,256,858,442,129
  5. Step 5: Solve for x
    x = 286,256,858,442,129/10,627,782
  6. Step 6: Final answer
    x = 26,934,769.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.