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Finding the Third Proportional to 329,122,871.58 and 451,307,420.61

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Solution

The third proportional to 329,122,871.58 and 451,307,420.61 is: 618,852,123.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,122,871.58 : 451,307,420.61 = 451,307,420.61 : x
  2. Step 2: Convert to fraction form
    329,122,871.58/451,307,420.61 = 451,307,420.61/x
  3. Step 3: Cross multiply
    329,122,871.58x = 451,307,420.61 × 451,307,420.61
  4. Step 4: Simplify right side
    329,122,871.58x = 203,678,387,900,621,056
  5. Step 5: Solve for x
    x = 203,678,387,900,621,056/329,122,871.58
  6. Step 6: Final answer
    x = 618,852,123.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.