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Finding the Third Proportional to 6,070,420.97 and 13,006,218.09

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Solution

The third proportional to 6,070,420.97 and 13,006,218.09 is: 27,866,553.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,070,420.97 : 13,006,218.09 = 13,006,218.09 : x
  2. Step 2: Convert to fraction form
    6,070,420.97/13,006,218.09 = 13,006,218.09/x
  3. Step 3: Cross multiply
    6,070,420.97x = 13,006,218.09 × 13,006,218.09
  4. Step 4: Simplify right side
    6,070,420.97x = 169,161,709,102,189.88
  5. Step 5: Solve for x
    x = 169,161,709,102,189.88/6,070,420.97
  6. Step 6: Final answer
    x = 27,866,553.24

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.