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Finding the Third Proportional to 433,798,024.75 and 660,861,484.75

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Solution

The third proportional to 433,798,024.75 and 660,861,484.75 is: 1,006,777,064.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,798,024.75 : 660,861,484.75 = 660,861,484.75 : x
  2. Step 2: Convert to fraction form
    433,798,024.75/660,861,484.75 = 660,861,484.75/x
  3. Step 3: Cross multiply
    433,798,024.75x = 660,861,484.75 × 660,861,484.75
  4. Step 4: Simplify right side
    433,798,024.75x = 436,737,902,025,974,464
  5. Step 5: Solve for x
    x = 436,737,902,025,974,464/433,798,024.75
  6. Step 6: Final answer
    x = 1,006,777,064.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.