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Finding the Third Proportional to 6,057,519.19 and 12,966,495.19

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Solution

The third proportional to 6,057,519.19 and 12,966,495.19 is: 27,755,586.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057,519.19 : 12,966,495.19 = 12,966,495.19 : x
  2. Step 2: Convert to fraction form
    6,057,519.19/12,966,495.19 = 12,966,495.19/x
  3. Step 3: Cross multiply
    6,057,519.19x = 12,966,495.19 × 12,966,495.19
  4. Step 4: Simplify right side
    6,057,519.19x = 168,129,997,447,460.66
  5. Step 5: Solve for x
    x = 168,129,997,447,460.66/6,057,519.19
  6. Step 6: Final answer
    x = 27,755,586.44

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Why These Related Problems?

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