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Finding the Third Proportional to 14,166,426,152 and 21,171,560,412

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Solution

The third proportional to 14,166,426,152 and 21,171,560,412 is: 31,640,652,728.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,166,426,152 : 21,171,560,412 = 21,171,560,412 : x
  2. Step 2: Convert to fraction form
    14,166,426,152/21,171,560,412 = 21,171,560,412/x
  3. Step 3: Cross multiply
    14,166,426,152x = 21,171,560,412 × 21,171,560,412
  4. Step 4: Simplify right side
    14,166,426,152x = 448,234,970,278,965,608,448
  5. Step 5: Solve for x
    x = 448,234,970,278,965,608,448/14,166,426,152
  6. Step 6: Final answer
    x = 31,640,652,728.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.