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Finding the Third Proportional to 3,637,826,340 and 7,893,106,023

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Solution

The third proportional to 3,637,826,340 and 7,893,106,023 is: 17,125,919,949.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637,826,340 : 7,893,106,023 = 7,893,106,023 : x
  2. Step 2: Convert to fraction form
    3,637,826,340/7,893,106,023 = 7,893,106,023/x
  3. Step 3: Cross multiply
    3,637,826,340x = 7,893,106,023 × 7,893,106,023
  4. Step 4: Simplify right side
    3,637,826,340x = 62,301,122,690,318,876,672
  5. Step 5: Solve for x
    x = 62,301,122,690,318,876,672/3,637,826,340
  6. Step 6: Final answer
    x = 17,125,919,949.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.