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Finding the Third Proportional to 322,403,902 and 703,172,046

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Solution

The third proportional to 322,403,902 and 703,172,046 is: 1,533,638,157.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,403,902 : 703,172,046 = 703,172,046 : x
  2. Step 2: Convert to fraction form
    322,403,902/703,172,046 = 703,172,046/x
  3. Step 3: Cross multiply
    322,403,902x = 703,172,046 × 703,172,046
  4. Step 4: Simplify right side
    322,403,902x = 494,450,926,275,826,112
  5. Step 5: Solve for x
    x = 494,450,926,275,826,112/322,403,902
  6. Step 6: Final answer
    x = 1,533,638,157.63

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.