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Finding the Third Proportional to 269,208,016,056 and 581,399,369,754

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Solution

The third proportional to 269,208,016,056 and 581,399,369,754 is: 1,255,628,387,677.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,208,016,056 : 581,399,369,754 = 581,399,369,754 : x
  2. Step 2: Convert to fraction form
    269,208,016,056/581,399,369,754 = 581,399,369,754/x
  3. Step 3: Cross multiply
    269,208,016,056x = 581,399,369,754 × 581,399,369,754
  4. Step 4: Simplify right side
    269,208,016,056x = 338,025,227,150,348,416,712,704
  5. Step 5: Solve for x
    x = 338,025,227,150,348,416,712,704/269,208,016,056
  6. Step 6: Final answer
    x = 1,255,628,387,677.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.