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Finding the Third Proportional to 18,142,922,997 and 25,226,284,207

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Solution

The third proportional to 18,142,922,997 and 25,226,284,207 is: 35,075,131,774.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142,922,997 : 25,226,284,207 = 25,226,284,207 : x
  2. Step 2: Convert to fraction form
    18,142,922,997/25,226,284,207 = 25,226,284,207/x
  3. Step 3: Cross multiply
    18,142,922,997x = 25,226,284,207 × 25,226,284,207
  4. Step 4: Simplify right side
    18,142,922,997x = 636,365,414,892,337,627,136
  5. Step 5: Solve for x
    x = 636,365,414,892,337,627,136/18,142,922,997
  6. Step 6: Final answer
    x = 35,075,131,774.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.