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Finding the Third Proportional to 566,828,078,121 and 1,249,193,770,695

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Solution

The third proportional to 566,828,078,121 and 1,249,193,770,695 is: 2,753,013,015,720.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,828,078,121 : 1,249,193,770,695 = 1,249,193,770,695 : x
  2. Step 2: Convert to fraction form
    566,828,078,121/1,249,193,770,695 = 1,249,193,770,695/x
  3. Step 3: Cross multiply
    566,828,078,121x = 1,249,193,770,695 × 1,249,193,770,695
  4. Step 4: Simplify right side
    566,828,078,121x = 1,560,485,076,743,192,108,335,104
  5. Step 5: Solve for x
    x = 1,560,485,076,743,192,108,335,104/566,828,078,121
  6. Step 6: Final answer
    x = 2,753,013,015,720.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.