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Finding the Third Proportional to 7,042,034 and 14,840,628

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Solution

The third proportional to 7,042,034 and 14,840,628 is: 31,275,656.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042,034 : 14,840,628 = 14,840,628 : x
  2. Step 2: Convert to fraction form
    7,042,034/14,840,628 = 14,840,628/x
  3. Step 3: Cross multiply
    7,042,034x = 14,840,628 × 14,840,628
  4. Step 4: Simplify right side
    7,042,034x = 220,244,239,434,384
  5. Step 5: Solve for x
    x = 220,244,239,434,384/7,042,034
  6. Step 6: Final answer
    x = 31,275,656.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.