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Finding the Third Proportional to 2,704,755,114 and 4,078,417,824

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Solution

The third proportional to 2,704,755,114 and 4,078,417,824 is: 6,149,721,969.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704,755,114 : 4,078,417,824 = 4,078,417,824 : x
  2. Step 2: Convert to fraction form
    2,704,755,114/4,078,417,824 = 4,078,417,824/x
  3. Step 3: Cross multiply
    2,704,755,114x = 4,078,417,824 × 4,078,417,824
  4. Step 4: Simplify right side
    2,704,755,114x = 16,633,491,947,120,893,952
  5. Step 5: Solve for x
    x = 16,633,491,947,120,893,952/2,704,755,114
  6. Step 6: Final answer
    x = 6,149,721,969.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.