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Finding the Third Proportional to 326,016,852 and 487,732,752

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Solution

The third proportional to 326,016,852 and 487,732,752 is: 729,665,463.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,016,852 : 487,732,752 = 487,732,752 : x
  2. Step 2: Convert to fraction form
    326,016,852/487,732,752 = 487,732,752/x
  3. Step 3: Cross multiply
    326,016,852x = 487,732,752 × 487,732,752
  4. Step 4: Simplify right side
    326,016,852x = 237,883,237,373,493,504
  5. Step 5: Solve for x
    x = 237,883,237,373,493,504/326,016,852
  6. Step 6: Final answer
    x = 729,665,463.35

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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.