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Finding the Third Proportional to 6,107,556.16 and 12,717,494.51

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Solution

The third proportional to 6,107,556.16 and 12,717,494.51 is: 26,481,077.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107,556.16 : 12,717,494.51 = 12,717,494.51 : x
  2. Step 2: Convert to fraction form
    6,107,556.16/12,717,494.51 = 12,717,494.51/x
  3. Step 3: Cross multiply
    6,107,556.16x = 12,717,494.51 × 12,717,494.51
  4. Step 4: Simplify right side
    6,107,556.16x = 161,734,666,556,228.41
  5. Step 5: Solve for x
    x = 161,734,666,556,228.41/6,107,556.16
  6. Step 6: Final answer
    x = 26,481,077.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.