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Finding the Third Proportional to 7,294,424 and 15,873,144

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Solution

The third proportional to 7,294,424 and 15,873,144 is: 34,541,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294,424 : 15,873,144 = 15,873,144 : x
  2. Step 2: Convert to fraction form
    7,294,424/15,873,144 = 15,873,144/x
  3. Step 3: Cross multiply
    7,294,424x = 15,873,144 × 15,873,144
  4. Step 4: Simplify right side
    7,294,424x = 251,956,700,444,736
  5. Step 5: Solve for x
    x = 251,956,700,444,736/7,294,424
  6. Step 6: Final answer
    x = 34,541,000.15

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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.