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Finding the Third Proportional to 947,563,815 and 2,044,950,324

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Solution

The third proportional to 947,563,815 and 2,044,950,324 is: 4,413,235,036.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,563,815 : 2,044,950,324 = 2,044,950,324 : x
  2. Step 2: Convert to fraction form
    947,563,815/2,044,950,324 = 2,044,950,324/x
  3. Step 3: Cross multiply
    947,563,815x = 2,044,950,324 × 2,044,950,324
  4. Step 4: Simplify right side
    947,563,815x = 4,181,821,827,627,704,832
  5. Step 5: Solve for x
    x = 4,181,821,827,627,704,832/947,563,815
  6. Step 6: Final answer
    x = 4,413,235,036.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.