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Finding the Third Proportional to 722,317,916 and 1,100,376,716

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Solution

The third proportional to 722,317,916 and 1,100,376,716 is: 1,676,310,237.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,317,916 : 1,100,376,716 = 1,100,376,716 : x
  2. Step 2: Convert to fraction form
    722,317,916/1,100,376,716 = 1,100,376,716/x
  3. Step 3: Cross multiply
    722,317,916x = 1,100,376,716 × 1,100,376,716
  4. Step 4: Simplify right side
    722,317,916x = 1,210,828,917,114,944,768
  5. Step 5: Solve for x
    x = 1,210,828,917,114,944,768/722,317,916
  6. Step 6: Final answer
    x = 1,676,310,237.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.