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Finding the Third Proportional to 867,437,991 and 1,321,495,600.50

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Solution

The third proportional to 867,437,991 and 1,321,495,600.50 is: 2,013,228,196.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,437,991 : 1,321,495,600.50 = 1,321,495,600.50 : x
  2. Step 2: Convert to fraction form
    867,437,991/1,321,495,600.50 = 1,321,495,600.50/x
  3. Step 3: Cross multiply
    867,437,991x = 1,321,495,600.50 × 1,321,495,600.50
  4. Step 4: Simplify right side
    867,437,991x = 1,746,350,622,140,855,552
  5. Step 5: Solve for x
    x = 1,746,350,622,140,855,552/867,437,991
  6. Step 6: Final answer
    x = 2,013,228,196.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.