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Finding the Third Proportional to 6,814,216 and 15,011,102

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Solution

The third proportional to 6,814,216 and 15,011,102 is: 33,068,101.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814,216 : 15,011,102 = 15,011,102 : x
  2. Step 2: Convert to fraction form
    6,814,216/15,011,102 = 15,011,102/x
  3. Step 3: Cross multiply
    6,814,216x = 15,011,102 × 15,011,102
  4. Step 4: Simplify right side
    6,814,216x = 225,333,183,254,404
  5. Step 5: Solve for x
    x = 225,333,183,254,404/6,814,216
  6. Step 6: Final answer
    x = 33,068,101.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.