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Finding the Third Proportional to 1,178,159,511 and 1,757,022,403

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Solution

The third proportional to 1,178,159,511 and 1,757,022,403 is: 2,620,296,908.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178,159,511 : 1,757,022,403 = 1,757,022,403 : x
  2. Step 2: Convert to fraction form
    1,178,159,511/1,757,022,403 = 1,757,022,403/x
  3. Step 3: Cross multiply
    1,178,159,511x = 1,757,022,403 × 1,757,022,403
  4. Step 4: Simplify right side
    1,178,159,511x = 3,087,127,724,643,894,272
  5. Step 5: Solve for x
    x = 3,087,127,724,643,894,272/1,178,159,511
  6. Step 6: Final answer
    x = 2,620,296,908.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.