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Finding the Third Proportional to 1,101,666,534 and 2,419,759,047

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Solution

The third proportional to 1,101,666,534 and 2,419,759,047 is: 5,314,887,640.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101,666,534 : 2,419,759,047 = 2,419,759,047 : x
  2. Step 2: Convert to fraction form
    1,101,666,534/2,419,759,047 = 2,419,759,047/x
  3. Step 3: Cross multiply
    1,101,666,534x = 2,419,759,047 × 2,419,759,047
  4. Step 4: Simplify right side
    1,101,666,534x = 5,855,233,845,538,348,032
  5. Step 5: Solve for x
    x = 5,855,233,845,538,348,032/1,101,666,534
  6. Step 6: Final answer
    x = 5,314,887,640.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.