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Finding the Third Proportional to 1,174,111,821 and 2,516,293,755

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Solution

The third proportional to 1,174,111,821 and 2,516,293,755 is: 5,392,786,400.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174,111,821 : 2,516,293,755 = 2,516,293,755 : x
  2. Step 2: Convert to fraction form
    1,174,111,821/2,516,293,755 = 2,516,293,755/x
  3. Step 3: Cross multiply
    1,174,111,821x = 2,516,293,755 × 2,516,293,755
  4. Step 4: Simplify right side
    1,174,111,821x = 6,331,734,261,452,000,256
  5. Step 5: Solve for x
    x = 6,331,734,261,452,000,256/1,174,111,821
  6. Step 6: Final answer
    x = 5,392,786,400.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.