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Finding the Third Proportional to 22,028,433 and 47,717,964.75

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Solution

The third proportional to 22,028,433 and 47,717,964.75 is: 103,366,597.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,028,433 : 47,717,964.75 = 47,717,964.75 : x
  2. Step 2: Convert to fraction form
    22,028,433/47,717,964.75 = 47,717,964.75/x
  3. Step 3: Cross multiply
    22,028,433x = 47,717,964.75 × 47,717,964.75
  4. Step 4: Simplify right side
    22,028,433x = 2,277,004,159,882,242.50
  5. Step 5: Solve for x
    x = 2,277,004,159,882,242.50/22,028,433
  6. Step 6: Final answer
    x = 103,366,597.16

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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.