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Finding the Third Proportional to 8,971,810 and 19,457,996

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Solution

The third proportional to 8,971,810 and 19,457,996 is: 42,200,359.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971,810 : 19,457,996 = 19,457,996 : x
  2. Step 2: Convert to fraction form
    8,971,810/19,457,996 = 19,457,996/x
  3. Step 3: Cross multiply
    8,971,810x = 19,457,996 × 19,457,996
  4. Step 4: Simplify right side
    8,971,810x = 378,613,608,336,016
  5. Step 5: Solve for x
    x = 378,613,608,336,016/8,971,810
  6. Step 6: Final answer
    x = 42,200,359.61

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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.