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Finding the Third Proportional to 726,357,016.50 and 1,019,222,836.50

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Solution

The third proportional to 726,357,016.50 and 1,019,222,836.50 is: 1,430,171,619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,357,016.50 : 1,019,222,836.50 = 1,019,222,836.50 : x
  2. Step 2: Convert to fraction form
    726,357,016.50/1,019,222,836.50 = 1,019,222,836.50/x
  3. Step 3: Cross multiply
    726,357,016.50x = 1,019,222,836.50 × 1,019,222,836.50
  4. Step 4: Simplify right side
    726,357,016.50x = 1,038,815,190,443,105,792
  5. Step 5: Solve for x
    x = 1,038,815,190,443,105,792/726,357,016.50
  6. Step 6: Final answer
    x = 1,430,171,619.25

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.