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Finding the Third Proportional to 332,420,010 and 496,769,499

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Solution

The third proportional to 332,420,010 and 496,769,499 is: 742,373,887.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,420,010 : 496,769,499 = 496,769,499 : x
  2. Step 2: Convert to fraction form
    332,420,010/496,769,499 = 496,769,499/x
  3. Step 3: Cross multiply
    332,420,010x = 496,769,499 × 496,769,499
  4. Step 4: Simplify right side
    332,420,010x = 246,779,935,136,711,008
  5. Step 5: Solve for x
    x = 246,779,935,136,711,008/332,420,010
  6. Step 6: Final answer
    x = 742,373,887.59

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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.