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Finding the Third Proportional to 2,814,495 and 6,145,122

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Solution

The third proportional to 2,814,495 and 6,145,122 is: 13,417,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814,495 : 6,145,122 = 6,145,122 : x
  2. Step 2: Convert to fraction form
    2,814,495/6,145,122 = 6,145,122/x
  3. Step 3: Cross multiply
    2,814,495x = 6,145,122 × 6,145,122
  4. Step 4: Simplify right side
    2,814,495x = 37,762,524,394,884
  5. Step 5: Solve for x
    x = 37,762,524,394,884/2,814,495
  6. Step 6: Final answer
    x = 13,417,158.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.