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Finding the Third Proportional to 352,081,101.75 and 764,643,141.75

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Solution

The third proportional to 352,081,101.75 and 764,643,141.75 is: 1,660,637,652.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,081,101.75 : 764,643,141.75 = 764,643,141.75 : x
  2. Step 2: Convert to fraction form
    352,081,101.75/764,643,141.75 = 764,643,141.75/x
  3. Step 3: Cross multiply
    352,081,101.75x = 764,643,141.75 × 764,643,141.75
  4. Step 4: Simplify right side
    352,081,101.75x = 584,679,134,225,310,592
  5. Step 5: Solve for x
    x = 584,679,134,225,310,592/352,081,101.75
  6. Step 6: Final answer
    x = 1,660,637,652.29

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Why These Related Problems?

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