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Finding the Third Proportional to 400,024,903.50 and 601,102,435.50

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Solution

The third proportional to 400,024,903.50 and 601,102,435.50 is: 903,254,109.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,024,903.50 : 601,102,435.50 = 601,102,435.50 : x
  2. Step 2: Convert to fraction form
    400,024,903.50/601,102,435.50 = 601,102,435.50/x
  3. Step 3: Cross multiply
    400,024,903.50x = 601,102,435.50 × 601,102,435.50
  4. Step 4: Simplify right side
    400,024,903.50x = 361,324,137,964,031,680
  5. Step 5: Solve for x
    x = 361,324,137,964,031,680/400,024,903.50
  6. Step 6: Final answer
    x = 903,254,109.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.