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Finding the Third Proportional to 332,420,009 and 496,769,497.50

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Solution

The third proportional to 332,420,009 and 496,769,497.50 is: 742,373,885.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,420,009 : 496,769,497.50 = 496,769,497.50 : x
  2. Step 2: Convert to fraction form
    332,420,009/496,769,497.50 = 496,769,497.50/x
  3. Step 3: Cross multiply
    332,420,009x = 496,769,497.50 × 496,769,497.50
  4. Step 4: Simplify right side
    332,420,009x = 246,779,933,646,402,496
  5. Step 5: Solve for x
    x = 246,779,933,646,402,496/332,420,009
  6. Step 6: Final answer
    x = 742,373,885.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.