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Finding the Third Proportional to 10,517,009.63 and 16,155,408.87

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Solution

The third proportional to 10,517,009.63 and 16,155,408.87 is: 24,816,677.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517,009.63 : 16,155,408.87 = 16,155,408.87 : x
  2. Step 2: Convert to fraction form
    10,517,009.63/16,155,408.87 = 16,155,408.87/x
  3. Step 3: Cross multiply
    10,517,009.63x = 16,155,408.87 × 16,155,408.87
  4. Step 4: Simplify right side
    10,517,009.63x = 260,997,235,666,016.62
  5. Step 5: Solve for x
    x = 260,997,235,666,016.62/10,517,009.63
  6. Step 6: Final answer
    x = 24,816,677.46

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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.