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Finding the Third Proportional to 702,904,896 and 1,463,988,810

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Solution

The third proportional to 702,904,896 and 1,463,988,810 is: 3,049,151,098.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,904,896 : 1,463,988,810 = 1,463,988,810 : x
  2. Step 2: Convert to fraction form
    702,904,896/1,463,988,810 = 1,463,988,810/x
  3. Step 3: Cross multiply
    702,904,896x = 1,463,988,810 × 1,463,988,810
  4. Step 4: Simplify right side
    702,904,896x = 2,143,263,235,805,216,000
  5. Step 5: Solve for x
    x = 2,143,263,235,805,216,000/702,904,896
  6. Step 6: Final answer
    x = 3,049,151,098.54

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.