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Finding the Third Proportional to 1,203,735,280.50 and 2,441,316,856.50

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Solution

The third proportional to 1,203,735,280.50 and 2,441,316,856.50 is: 4,951,277,984.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203,735,280.50 : 2,441,316,856.50 = 2,441,316,856.50 : x
  2. Step 2: Convert to fraction form
    1,203,735,280.50/2,441,316,856.50 = 2,441,316,856.50/x
  3. Step 3: Cross multiply
    1,203,735,280.50x = 2,441,316,856.50 × 2,441,316,856.50
  4. Step 4: Simplify right side
    1,203,735,280.50x = 5,960,027,993,831,042,048
  5. Step 5: Solve for x
    x = 5,960,027,993,831,042,048/1,203,735,280.50
  6. Step 6: Final answer
    x = 4,951,277,984.77

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.