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Finding the Third Proportional to 245,731,923 and 527,934,123

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Solution

The third proportional to 245,731,923 and 527,934,123 is: 1,134,221,532.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,731,923 : 527,934,123 = 527,934,123 : x
  2. Step 2: Convert to fraction form
    245,731,923/527,934,123 = 527,934,123/x
  3. Step 3: Cross multiply
    245,731,923x = 527,934,123 × 527,934,123
  4. Step 4: Simplify right side
    245,731,923x = 278,714,438,227,779,136
  5. Step 5: Solve for x
    x = 278,714,438,227,779,136/245,731,923
  6. Step 6: Final answer
    x = 1,134,221,532.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.