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Finding the Third Proportional to 6,724,944 and 14,593,008

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Solution

The third proportional to 6,724,944 and 14,593,008 is: 31,666,565.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724,944 : 14,593,008 = 14,593,008 : x
  2. Step 2: Convert to fraction form
    6,724,944/14,593,008 = 14,593,008/x
  3. Step 3: Cross multiply
    6,724,944x = 14,593,008 × 14,593,008
  4. Step 4: Simplify right side
    6,724,944x = 212,955,882,488,064
  5. Step 5: Solve for x
    x = 212,955,882,488,064/6,724,944
  6. Step 6: Final answer
    x = 31,666,565.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.