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Finding the Third Proportional to 29,575,448,410 and 65,763,545,010

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Solution

The third proportional to 29,575,448,410 and 65,763,545,010 is: 146,230,880,165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,575,448,410 : 65,763,545,010 = 65,763,545,010 : x
  2. Step 2: Convert to fraction form
    29,575,448,410/65,763,545,010 = 65,763,545,010/x
  3. Step 3: Cross multiply
    29,575,448,410x = 65,763,545,010 × 65,763,545,010
  4. Step 4: Simplify right side
    29,575,448,410x = 4,324,843,852,282,296,008,704
  5. Step 5: Solve for x
    x = 4,324,843,852,282,296,008,704/29,575,448,410
  6. Step 6: Final answer
    x = 146,230,880,165.46

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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.