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Finding the Third Proportional to 2,614,102 and 5,662,444

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Solution

The third proportional to 2,614,102 and 5,662,444 is: 12,265,501.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614,102 : 5,662,444 = 5,662,444 : x
  2. Step 2: Convert to fraction form
    2,614,102/5,662,444 = 5,662,444/x
  3. Step 3: Cross multiply
    2,614,102x = 5,662,444 × 5,662,444
  4. Step 4: Simplify right side
    2,614,102x = 32,063,272,053,136
  5. Step 5: Solve for x
    x = 32,063,272,053,136/2,614,102
  6. Step 6: Final answer
    x = 12,265,501.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.