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Finding the Third Proportional to 9,953,284 and 21,835,016

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Solution

The third proportional to 9,953,284 and 21,835,016 is: 47,900,564.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953,284 : 21,835,016 = 21,835,016 : x
  2. Step 2: Convert to fraction form
    9,953,284/21,835,016 = 21,835,016/x
  3. Step 3: Cross multiply
    9,953,284x = 21,835,016 × 21,835,016
  4. Step 4: Simplify right side
    9,953,284x = 476,767,923,720,256
  5. Step 5: Solve for x
    x = 476,767,923,720,256/9,953,284
  6. Step 6: Final answer
    x = 47,900,564.65

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.