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Finding the Third Proportional to 10,767,026.25 and 16,549,698.94

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Solution

The third proportional to 10,767,026.25 and 16,549,698.94 is: 25,438,085.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767,026.25 : 16,549,698.94 = 16,549,698.94 : x
  2. Step 2: Convert to fraction form
    10,767,026.25/16,549,698.94 = 16,549,698.94/x
  3. Step 3: Cross multiply
    10,767,026.25x = 16,549,698.94 × 16,549,698.94
  4. Step 4: Simplify right side
    10,767,026.25x = 273,892,534,921,888.62
  5. Step 5: Solve for x
    x = 273,892,534,921,888.62/10,767,026.25
  6. Step 6: Final answer
    x = 25,438,085.56

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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.