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Finding the Third Proportional to 9,229,216 and 20,033,070

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Solution

The third proportional to 9,229,216 and 20,033,070 is: 43,484,072.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229,216 : 20,033,070 = 20,033,070 : x
  2. Step 2: Convert to fraction form
    9,229,216/20,033,070 = 20,033,070/x
  3. Step 3: Cross multiply
    9,229,216x = 20,033,070 × 20,033,070
  4. Step 4: Simplify right side
    9,229,216x = 401,323,893,624,900
  5. Step 5: Solve for x
    x = 401,323,893,624,900/9,229,216
  6. Step 6: Final answer
    x = 43,484,072.06

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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.