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Finding the Third Proportional to 351,345,324 and 763,173,468

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Solution

The third proportional to 351,345,324 and 763,173,468 is: 1,657,724,473.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,345,324 : 763,173,468 = 763,173,468 : x
  2. Step 2: Convert to fraction form
    351,345,324/763,173,468 = 763,173,468/x
  3. Step 3: Cross multiply
    351,345,324x = 763,173,468 × 763,173,468
  4. Step 4: Simplify right side
    351,345,324x = 582,433,742,259,147,008
  5. Step 5: Solve for x
    x = 582,433,742,259,147,008/351,345,324
  6. Step 6: Final answer
    x = 1,657,724,473.54

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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.