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Finding the Third Proportional to 10,778,271.75 and 16,279,309.13

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Solution

The third proportional to 10,778,271.75 and 16,279,309.13 is: 24,587,977.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778,271.75 : 16,279,309.13 = 16,279,309.13 : x
  2. Step 2: Convert to fraction form
    10,778,271.75/16,279,309.13 = 16,279,309.13/x
  3. Step 3: Cross multiply
    10,778,271.75x = 16,279,309.13 × 16,279,309.13
  4. Step 4: Simplify right side
    10,778,271.75x = 265,015,905,587,308.25
  5. Step 5: Solve for x
    x = 265,015,905,587,308.25/10,778,271.75
  6. Step 6: Final answer
    x = 24,587,977.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.