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Finding the Third Proportional to 352,081,097.72 and 764,643,133.69

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Solution

The third proportional to 352,081,097.72 and 764,643,133.69 is: 1,660,637,636.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,081,097.72 : 764,643,133.69 = 764,643,133.69 : x
  2. Step 2: Convert to fraction form
    352,081,097.72/764,643,133.69 = 764,643,133.69/x
  3. Step 3: Cross multiply
    352,081,097.72x = 764,643,133.69 × 764,643,133.69
  4. Step 4: Simplify right side
    352,081,097.72x = 584,679,121,895,440,000
  5. Step 5: Solve for x
    x = 584,679,121,895,440,000/352,081,097.72
  6. Step 6: Final answer
    x = 1,660,637,636.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.