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Finding the Third Proportional to 688,087,150,524 and 956,730,182,064

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Solution

The third proportional to 688,087,150,524 and 956,730,182,064 is: 1,330,256,844,027.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,087,150,524 : 956,730,182,064 = 956,730,182,064 : x
  2. Step 2: Convert to fraction form
    688,087,150,524/956,730,182,064 = 956,730,182,064/x
  3. Step 3: Cross multiply
    688,087,150,524x = 956,730,182,064 × 956,730,182,064
  4. Step 4: Simplify right side
    688,087,150,524x = 915,332,641,272,214,614,704,128
  5. Step 5: Solve for x
    x = 915,332,641,272,214,614,704,128/688,087,150,524
  6. Step 6: Final answer
    x = 1,330,256,844,027.91

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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.