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Finding the Third Proportional to 1,519,607,628 and 2,270,466,036

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Solution

The third proportional to 1,519,607,628 and 2,270,466,036 is: 3,392,333,603.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519,607,628 : 2,270,466,036 = 2,270,466,036 : x
  2. Step 2: Convert to fraction form
    1,519,607,628/2,270,466,036 = 2,270,466,036/x
  3. Step 3: Cross multiply
    1,519,607,628x = 2,270,466,036 × 2,270,466,036
  4. Step 4: Simplify right side
    1,519,607,628x = 5,155,016,020,629,553,152
  5. Step 5: Solve for x
    x = 5,155,016,020,629,553,152/1,519,607,628
  6. Step 6: Final answer
    x = 3,392,333,603.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.