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Finding the Third Proportional to 1,214,121,864 and 2,612,387,664

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Solution

The third proportional to 1,214,121,864 and 2,612,387,664 is: 5,620,992,018.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,121,864 : 2,612,387,664 = 2,612,387,664 : x
  2. Step 2: Convert to fraction form
    1,214,121,864/2,612,387,664 = 2,612,387,664/x
  3. Step 3: Cross multiply
    1,214,121,864x = 2,612,387,664 × 2,612,387,664
  4. Step 4: Simplify right side
    1,214,121,864x = 6,824,569,307,019,376,640
  5. Step 5: Solve for x
    x = 6,824,569,307,019,376,640/1,214,121,864
  6. Step 6: Final answer
    x = 5,620,992,018.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.