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Finding the Third Proportional to 10,762,661.74 and 16,565,245.45

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Solution

The third proportional to 10,762,661.74 and 16,565,245.45 is: 25,496,235.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762,661.74 : 16,565,245.45 = 16,565,245.45 : x
  2. Step 2: Convert to fraction form
    10,762,661.74/16,565,245.45 = 16,565,245.45/x
  3. Step 3: Cross multiply
    10,762,661.74x = 16,565,245.45 × 16,565,245.45
  4. Step 4: Simplify right side
    10,762,661.74x = 274,407,356,922,278.50
  5. Step 5: Solve for x
    x = 274,407,356,922,278.50/10,762,661.74
  6. Step 6: Final answer
    x = 25,496,235.36

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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.