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Finding the Third Proportional to 9,134,214 and 19,895,772

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Solution

The third proportional to 9,134,214 and 19,895,772 is: 43,336,158.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134,214 : 19,895,772 = 19,895,772 : x
  2. Step 2: Convert to fraction form
    9,134,214/19,895,772 = 19,895,772/x
  3. Step 3: Cross multiply
    9,134,214x = 19,895,772 × 19,895,772
  4. Step 4: Simplify right side
    9,134,214x = 395,841,743,475,984
  5. Step 5: Solve for x
    x = 395,841,743,475,984/9,134,214
  6. Step 6: Final answer
    x = 43,336,158.26

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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.