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Finding the Third Proportional to 413,265,852 and 907,140,096

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Solution

The third proportional to 413,265,852 and 907,140,096 is: 1,991,219,815.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,265,852 : 907,140,096 = 907,140,096 : x
  2. Step 2: Convert to fraction form
    413,265,852/907,140,096 = 907,140,096/x
  3. Step 3: Cross multiply
    413,265,852x = 907,140,096 × 907,140,096
  4. Step 4: Simplify right side
    413,265,852x = 822,903,153,770,889,216
  5. Step 5: Solve for x
    x = 822,903,153,770,889,216/413,265,852
  6. Step 6: Final answer
    x = 1,991,219,815.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.