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Finding the Third Proportional to 40,820,194,297 and 63,894,753,010

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Solution

The third proportional to 40,820,194,297 and 63,894,753,010 is: 100,012,739,589.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,820,194,297 : 63,894,753,010 = 63,894,753,010 : x
  2. Step 2: Convert to fraction form
    40,820,194,297/63,894,753,010 = 63,894,753,010/x
  3. Step 3: Cross multiply
    40,820,194,297x = 63,894,753,010 × 63,894,753,010
  4. Step 4: Simplify right side
    40,820,194,297x = 4,082,539,462,208,903,970,816
  5. Step 5: Solve for x
    x = 4,082,539,462,208,903,970,816/40,820,194,297
  6. Step 6: Final answer
    x = 100,012,739,589.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.