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Finding the Third Proportional to 688,087,150,526 and 956,730,182,067

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Solution

The third proportional to 688,087,150,526 and 956,730,182,067 is: 1,330,256,844,032.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,087,150,526 : 956,730,182,067 = 956,730,182,067 : x
  2. Step 2: Convert to fraction form
    688,087,150,526/956,730,182,067 = 956,730,182,067/x
  3. Step 3: Cross multiply
    688,087,150,526x = 956,730,182,067 × 956,730,182,067
  4. Step 4: Simplify right side
    688,087,150,526x = 915,332,641,277,954,972,712,960
  5. Step 5: Solve for x
    x = 915,332,641,277,954,972,712,960/688,087,150,526
  6. Step 6: Final answer
    x = 1,330,256,844,032.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.