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Finding the Third Proportional to 5,209,889,481,751 and 7,881,840,539,928

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Solution

The third proportional to 5,209,889,481,751 and 7,881,840,539,928 is: 11,924,132,078,896.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209,889,481,751 : 7,881,840,539,928 = 7,881,840,539,928 : x
  2. Step 2: Convert to fraction form
    5,209,889,481,751/7,881,840,539,928 = 7,881,840,539,928/x
  3. Step 3: Cross multiply
    5,209,889,481,751x = 7,881,840,539,928 × 7,881,840,539,928
  4. Step 4: Simplify right side
    5,209,889,481,751x = 62,123,410,296,852,509,928,456,192
  5. Step 5: Solve for x
    x = 62,123,410,296,852,509,928,456,192/5,209,889,481,751
  6. Step 6: Final answer
    x = 11,924,132,078,896.49

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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.