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Finding the Third Proportional to 658,490,086.13 and 969,546,768.38

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Solution

The third proportional to 658,490,086.13 and 969,546,768.38 is: 1,427,539,997.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,490,086.13 : 969,546,768.38 = 969,546,768.38 : x
  2. Step 2: Convert to fraction form
    658,490,086.13/969,546,768.38 = 969,546,768.38/x
  3. Step 3: Cross multiply
    658,490,086.13x = 969,546,768.38 × 969,546,768.38
  4. Step 4: Simplify right side
    658,490,086.13x = 940,020,936,066,405,888
  5. Step 5: Solve for x
    x = 940,020,936,066,405,888/658,490,086.13
  6. Step 6: Final answer
    x = 1,427,539,997.75

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.