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Finding the Third Proportional to 958,347,264 and 1,433,689,920

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Solution

The third proportional to 958,347,264 and 1,433,689,920 is: 2,144,803,730.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    958,347,264 : 1,433,689,920 = 1,433,689,920 : x
  2. Step 2: Convert to fraction form
    958,347,264/1,433,689,920 = 1,433,689,920/x
  3. Step 3: Cross multiply
    958,347,264x = 1,433,689,920 × 1,433,689,920
  4. Step 4: Simplify right side
    958,347,264x = 2,055,466,786,709,606,400
  5. Step 5: Solve for x
    x = 2,055,466,786,709,606,400/958,347,264
  6. Step 6: Final answer
    x = 2,144,803,730.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.