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Finding the Third Proportional to 22,028,436 and 47,717,971.50

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Solution

The third proportional to 22,028,436 and 47,717,971.50 is: 103,366,612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,028,436 : 47,717,971.50 = 47,717,971.50 : x
  2. Step 2: Convert to fraction form
    22,028,436/47,717,971.50 = 47,717,971.50/x
  3. Step 3: Cross multiply
    22,028,436x = 47,717,971.50 × 47,717,971.50
  4. Step 4: Simplify right side
    22,028,436x = 2,277,004,804,074,812
  5. Step 5: Solve for x
    x = 2,277,004,804,074,812/22,028,436
  6. Step 6: Final answer
    x = 103,366,612.32

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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.