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Finding the Third Proportional to 29,575,448,406 and 65,763,545,004

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Solution

The third proportional to 29,575,448,406 and 65,763,545,004 is: 146,230,880,158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,575,448,406 : 65,763,545,004 = 65,763,545,004 : x
  2. Step 2: Convert to fraction form
    29,575,448,406/65,763,545,004 = 65,763,545,004/x
  3. Step 3: Cross multiply
    29,575,448,406x = 65,763,545,004 × 65,763,545,004
  4. Step 4: Simplify right side
    29,575,448,406x = 4,324,843,851,493,133,516,800
  5. Step 5: Solve for x
    x = 4,324,843,851,493,133,516,800/29,575,448,406
  6. Step 6: Final answer
    x = 146,230,880,158.55

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.