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Finding the Third Proportional to 689,333,833,879 and 1,508,523,051,610

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Solution

The third proportional to 689,333,833,879 and 1,508,523,051,610 is: 3,301,218,778,764.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,333,833,879 : 1,508,523,051,610 = 1,508,523,051,610 : x
  2. Step 2: Convert to fraction form
    689,333,833,879/1,508,523,051,610 = 1,508,523,051,610/x
  3. Step 3: Cross multiply
    689,333,833,879x = 1,508,523,051,610 × 1,508,523,051,610
  4. Step 4: Simplify right side
    689,333,833,879x = 2,275,641,797,238,746,641,334,272
  5. Step 5: Solve for x
    x = 2,275,641,797,238,746,641,334,272/689,333,833,879
  6. Step 6: Final answer
    x = 3,301,218,778,764.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.