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Finding the Third Proportional to 529,378,966 and 800,876,971.50

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Solution

The third proportional to 529,378,966 and 800,876,971.50 is: 1,211,615,807.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,378,966 : 800,876,971.50 = 800,876,971.50 : x
  2. Step 2: Convert to fraction form
    529,378,966/800,876,971.50 = 800,876,971.50/x
  3. Step 3: Cross multiply
    529,378,966x = 800,876,971.50 × 800,876,971.50
  4. Step 4: Simplify right side
    529,378,966x = 641,403,923,479,011,840
  5. Step 5: Solve for x
    x = 641,403,923,479,011,840/529,378,966
  6. Step 6: Final answer
    x = 1,211,615,807.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.