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Finding the Third Proportional to 870,649,057 and 1,331,295,236

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Solution

The third proportional to 870,649,057 and 1,331,295,236 is: 2,035,661,775.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,649,057 : 1,331,295,236 = 1,331,295,236 : x
  2. Step 2: Convert to fraction form
    870,649,057/1,331,295,236 = 1,331,295,236/x
  3. Step 3: Cross multiply
    870,649,057x = 1,331,295,236 × 1,331,295,236
  4. Step 4: Simplify right side
    870,649,057x = 1,772,347,005,396,295,680
  5. Step 5: Solve for x
    x = 1,772,347,005,396,295,680/870,649,057
  6. Step 6: Final answer
    x = 2,035,661,775.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.