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Finding the Third Proportional to 1,491,701,024.50 and 2,340,038,704

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Solution

The third proportional to 1,491,701,024.50 and 2,340,038,704 is: 3,670,830,177.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491,701,024.50 : 2,340,038,704 = 2,340,038,704 : x
  2. Step 2: Convert to fraction form
    1,491,701,024.50/2,340,038,704 = 2,340,038,704/x
  3. Step 3: Cross multiply
    1,491,701,024.50x = 2,340,038,704 × 2,340,038,704
  4. Step 4: Simplify right side
    1,491,701,024.50x = 5,475,781,136,217,999,360
  5. Step 5: Solve for x
    x = 5,475,781,136,217,999,360/1,491,701,024.50
  6. Step 6: Final answer
    x = 3,670,830,177.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.