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Finding the Third Proportional to 446,942,432 and 962,191,590

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Solution

The third proportional to 446,942,432 and 962,191,590 is: 2,071,436,027.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,942,432 : 962,191,590 = 962,191,590 : x
  2. Step 2: Convert to fraction form
    446,942,432/962,191,590 = 962,191,590/x
  3. Step 3: Cross multiply
    446,942,432x = 962,191,590 × 962,191,590
  4. Step 4: Simplify right side
    446,942,432x = 925,812,655,866,728,064
  5. Step 5: Solve for x
    x = 925,812,655,866,728,064/446,942,432
  6. Step 6: Final answer
    x = 2,071,436,027.51

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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.