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Finding the Third Proportional to 1,151,333,396 and 1,768,588,922

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Solution

The third proportional to 1,151,333,396 and 1,768,588,922 is: 2,716,768,909.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151,333,396 : 1,768,588,922 = 1,768,588,922 : x
  2. Step 2: Convert to fraction form
    1,151,333,396/1,768,588,922 = 1,768,588,922/x
  3. Step 3: Cross multiply
    1,151,333,396x = 1,768,588,922 × 1,768,588,922
  4. Step 4: Simplify right side
    1,151,333,396x = 3,127,906,775,021,122,048
  5. Step 5: Solve for x
    x = 3,127,906,775,021,122,048/1,151,333,396
  6. Step 6: Final answer
    x = 2,716,768,909.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.