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Finding the Third Proportional to 583,562,134.50 and 1,280,659,639.50

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Solution

The third proportional to 583,562,134.50 and 1,280,659,639.50 is: 2,810,478,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,562,134.50 : 1,280,659,639.50 = 1,280,659,639.50 : x
  2. Step 2: Convert to fraction form
    583,562,134.50/1,280,659,639.50 = 1,280,659,639.50/x
  3. Step 3: Cross multiply
    583,562,134.50x = 1,280,659,639.50 × 1,280,659,639.50
  4. Step 4: Simplify right side
    583,562,134.50x = 1,640,089,112,244,270,080
  5. Step 5: Solve for x
    x = 1,640,089,112,244,270,080/583,562,134.50
  6. Step 6: Final answer
    x = 2,810,478,979.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.