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Finding the Third Proportional to 336,882,841,963.88 and 749,087,879,739.75

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Solution

The third proportional to 336,882,841,963.88 and 749,087,879,739.75 is: 1,665,661,119,164.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,882,841,963.88 : 749,087,879,739.75 = 749,087,879,739.75 : x
  2. Step 2: Convert to fraction form
    336,882,841,963.88/749,087,879,739.75 = 749,087,879,739.75/x
  3. Step 3: Cross multiply
    336,882,841,963.88x = 749,087,879,739.75 × 749,087,879,739.75
  4. Step 4: Simplify right side
    336,882,841,963.88x = 561,132,651,572,994,187,984,896
  5. Step 5: Solve for x
    x = 561,132,651,572,994,187,984,896/336,882,841,963.88
  6. Step 6: Final answer
    x = 1,665,661,119,164.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.