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Finding the Third Proportional to 14,361,121,590 and 31,427,563,692

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Solution

The third proportional to 14,361,121,590 and 31,427,563,692 is: 68,775,391,491.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,361,121,590 : 31,427,563,692 = 31,427,563,692 : x
  2. Step 2: Convert to fraction form
    14,361,121,590/31,427,563,692 = 31,427,563,692/x
  3. Step 3: Cross multiply
    14,361,121,590x = 31,427,563,692 × 31,427,563,692
  4. Step 4: Simplify right side
    14,361,121,590x = 987,691,759,614,716,674,048
  5. Step 5: Solve for x
    x = 987,691,759,614,716,674,048/14,361,121,590
  6. Step 6: Final answer
    x = 68,775,391,491.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.