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Finding the Third Proportional to 29,652,994,327 and 45,173,273,060

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Solution

The third proportional to 29,652,994,327 and 45,173,273,060 is: 68,816,814,128.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,652,994,327 : 45,173,273,060 = 45,173,273,060 : x
  2. Step 2: Convert to fraction form
    29,652,994,327/45,173,273,060 = 45,173,273,060/x
  3. Step 3: Cross multiply
    29,652,994,327x = 45,173,273,060 × 45,173,273,060
  4. Step 4: Simplify right side
    29,652,994,327x = 2,040,624,598,953,321,824,256
  5. Step 5: Solve for x
    x = 2,040,624,598,953,321,824,256/29,652,994,327
  6. Step 6: Final answer
    x = 68,816,814,128.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.