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Finding the Third Proportional to 4,448,054 and 9,711,724

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Solution

The third proportional to 4,448,054 and 9,711,724 is: 21,204,235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,448,054 : 9,711,724 = 9,711,724 : x
  2. Step 2: Convert to fraction form
    4,448,054/9,711,724 = 9,711,724/x
  3. Step 3: Cross multiply
    4,448,054x = 9,711,724 × 9,711,724
  4. Step 4: Simplify right side
    4,448,054x = 94,317,583,052,176
  5. Step 5: Solve for x
    x = 94,317,583,052,176/4,448,054
  6. Step 6: Final answer
    x = 21,204,235.17

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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.