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Finding the Third Proportional to 29,139,543,581,332 and 64,794,273,201,296

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Solution

The third proportional to 29,139,543,581,332 and 64,794,273,201,296 is: 144,075,621,087,414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,139,543,581,332 : 64,794,273,201,296 = 64,794,273,201,296 : x
  2. Step 2: Convert to fraction form
    29,139,543,581,332/64,794,273,201,296 = 64,794,273,201,296/x
  3. Step 3: Cross multiply
    29,139,543,581,332x = 64,794,273,201,296 × 64,794,273,201,296
  4. Step 4: Simplify right side
    29,139,543,581,332x = 4,198,297,839,684,184,755,388,022,784
  5. Step 5: Solve for x
    x = 4,198,297,839,684,184,755,388,022,784/29,139,543,581,332
  6. Step 6: Final answer
    x = 144,075,621,087,414.31

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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.