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Finding the Third Proportional to 499,068,904.50 and 1,112,889,273.75

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Solution

The third proportional to 499,068,904.50 and 1,112,889,273.75 is: 2,481,666,408.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,068,904.50 : 1,112,889,273.75 = 1,112,889,273.75 : x
  2. Step 2: Convert to fraction form
    499,068,904.50/1,112,889,273.75 = 1,112,889,273.75/x
  3. Step 3: Cross multiply
    499,068,904.50x = 1,112,889,273.75 × 1,112,889,273.75
  4. Step 4: Simplify right side
    499,068,904.50x = 1,238,522,535,627,802,368
  5. Step 5: Solve for x
    x = 1,238,522,535,627,802,368/499,068,904.50
  6. Step 6: Final answer
    x = 2,481,666,408.11

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.