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Finding the Third Proportional to 1,533,797,493 and 3,312,759,015

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Solution

The third proportional to 1,533,797,493 and 3,312,759,015 is: 7,155,033,400.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533,797,493 : 3,312,759,015 = 3,312,759,015 : x
  2. Step 2: Convert to fraction form
    1,533,797,493/3,312,759,015 = 3,312,759,015/x
  3. Step 3: Cross multiply
    1,533,797,493x = 3,312,759,015 × 3,312,759,015
  4. Step 4: Simplify right side
    1,533,797,493x = 10,974,372,291,463,770,112
  5. Step 5: Solve for x
    x = 10,974,372,291,463,770,112/1,533,797,493
  6. Step 6: Final answer
    x = 7,155,033,400.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.