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Finding the Third Proportional to 1,393,817,152 and 3,033,435,500

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Solution

The third proportional to 1,393,817,152 and 3,033,435,500 is: 6,601,820,704.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393,817,152 : 3,033,435,500 = 3,033,435,500 : x
  2. Step 2: Convert to fraction form
    1,393,817,152/3,033,435,500 = 3,033,435,500/x
  3. Step 3: Cross multiply
    1,393,817,152x = 3,033,435,500 × 3,033,435,500
  4. Step 4: Simplify right side
    1,393,817,152x = 9,201,730,932,660,249,600
  5. Step 5: Solve for x
    x = 9,201,730,932,660,249,600/1,393,817,152
  6. Step 6: Final answer
    x = 6,601,820,704.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.