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Finding the Third Proportional to 2,078,431,640 and 4,522,750,974

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Solution

The third proportional to 2,078,431,640 and 4,522,750,974 is: 9,841,688,309.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078,431,640 : 4,522,750,974 = 4,522,750,974 : x
  2. Step 2: Convert to fraction form
    2,078,431,640/4,522,750,974 = 4,522,750,974/x
  3. Step 3: Cross multiply
    2,078,431,640x = 4,522,750,974 × 4,522,750,974
  4. Step 4: Simplify right side
    2,078,431,640x = 20,455,276,372,817,948,672
  5. Step 5: Solve for x
    x = 20,455,276,372,817,948,672/2,078,431,640
  6. Step 6: Final answer
    x = 9,841,688,309.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.