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Finding the Third Proportional to 1,491,701,032 and 2,340,038,715

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Solution

The third proportional to 1,491,701,032 and 2,340,038,715 is: 3,670,830,193.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491,701,032 : 2,340,038,715 = 2,340,038,715 : x
  2. Step 2: Convert to fraction form
    1,491,701,032/2,340,038,715 = 2,340,038,715/x
  3. Step 3: Cross multiply
    1,491,701,032x = 2,340,038,715 × 2,340,038,715
  4. Step 4: Simplify right side
    1,491,701,032x = 5,475,781,187,698,850,816
  5. Step 5: Solve for x
    x = 5,475,781,187,698,850,816/1,491,701,032
  6. Step 6: Final answer
    x = 3,670,830,193.34

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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.