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Finding the Third Proportional to 1,068,159,912,695 and 1,441,198,520,341

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Solution

The third proportional to 1,068,159,912,695 and 1,441,198,520,341 is: 1,944,515,189,483.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068,159,912,695 : 1,441,198,520,341 = 1,441,198,520,341 : x
  2. Step 2: Convert to fraction form
    1,068,159,912,695/1,441,198,520,341 = 1,441,198,520,341/x
  3. Step 3: Cross multiply
    1,068,159,912,695x = 1,441,198,520,341 × 1,441,198,520,341
  4. Step 4: Simplify right side
    1,068,159,912,695x = 2,077,053,175,033,087,832,096,768
  5. Step 5: Solve for x
    x = 2,077,053,175,033,087,832,096,768/1,068,159,912,695
  6. Step 6: Final answer
    x = 1,944,515,189,483.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.