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Finding the Third Proportional to 5,010,240 and 11,168,000

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Solution

The third proportional to 5,010,240 and 11,168,000 is: 24,893,862.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,010,240 : 11,168,000 = 11,168,000 : x
  2. Step 2: Convert to fraction form
    5,010,240/11,168,000 = 11,168,000/x
  3. Step 3: Cross multiply
    5,010,240x = 11,168,000 × 11,168,000
  4. Step 4: Simplify right side
    5,010,240x = 124,724,224,000,000
  5. Step 5: Solve for x
    x = 124,724,224,000,000/5,010,240
  6. Step 6: Final answer
    x = 24,893,862.17

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.