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Finding the Third Proportional to 75,404,507,880 and 164,047,796,664

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Solution

The third proportional to 75,404,507,880 and 164,047,796,664 is: 356,897,489,910.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,404,507,880 : 164,047,796,664 = 164,047,796,664 : x
  2. Step 2: Convert to fraction form
    75,404,507,880/164,047,796,664 = 164,047,796,664/x
  3. Step 3: Cross multiply
    75,404,507,880x = 164,047,796,664 × 164,047,796,664
  4. Step 4: Simplify right side
    75,404,507,880x = 26,911,679,590,313,087,729,664
  5. Step 5: Solve for x
    x = 26,911,679,590,313,087,729,664/75,404,507,880
  6. Step 6: Final answer
    x = 356,897,489,910.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.