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Finding the Third Proportional to 6,814,245 and 14,824,251

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Solution

The third proportional to 6,814,245 and 14,824,251 is: 32,249,855.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814,245 : 14,824,251 = 14,824,251 : x
  2. Step 2: Convert to fraction form
    6,814,245/14,824,251 = 14,824,251/x
  3. Step 3: Cross multiply
    6,814,245x = 14,824,251 × 14,824,251
  4. Step 4: Simplify right side
    6,814,245x = 219,758,417,711,001
  5. Step 5: Solve for x
    x = 219,758,417,711,001/6,814,245
  6. Step 6: Final answer
    x = 32,249,855.66

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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.