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Finding the Third Proportional to 435,350,115 and 947,224,899

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Solution

The third proportional to 435,350,115 and 947,224,899 is: 2,060,950,435.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,350,115 : 947,224,899 = 947,224,899 : x
  2. Step 2: Convert to fraction form
    435,350,115/947,224,899 = 947,224,899/x
  3. Step 3: Cross multiply
    435,350,115x = 947,224,899 × 947,224,899
  4. Step 4: Simplify right side
    435,350,115x = 897,235,009,285,560,192
  5. Step 5: Solve for x
    x = 897,235,009,285,560,192/435,350,115
  6. Step 6: Final answer
    x = 2,060,950,435.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.