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Finding the Third Proportional to 689,333,833,956 and 1,508,523,051,792

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Solution

The third proportional to 689,333,833,956 and 1,508,523,051,792 is: 3,301,218,779,191.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,333,833,956 : 1,508,523,051,792 = 1,508,523,051,792 : x
  2. Step 2: Convert to fraction form
    689,333,833,956/1,508,523,051,792 = 1,508,523,051,792/x
  3. Step 3: Cross multiply
    689,333,833,956x = 1,508,523,051,792 × 1,508,523,051,792
  4. Step 4: Simplify right side
    689,333,833,956x = 2,275,641,797,787,849,083,322,368
  5. Step 5: Solve for x
    x = 2,275,641,797,787,849,083,322,368/689,333,833,956
  6. Step 6: Final answer
    x = 3,301,218,779,191.83

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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.