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Finding the Third Proportional to 26,307,997,342 and 61,387,448,456

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Solution

The third proportional to 26,307,997,342 and 61,387,448,456 is: 143,242,329,659.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,307,997,342 : 61,387,448,456 = 61,387,448,456 : x
  2. Step 2: Convert to fraction form
    26,307,997,342/61,387,448,456 = 61,387,448,456/x
  3. Step 3: Cross multiply
    26,307,997,342x = 61,387,448,456 × 61,387,448,456
  4. Step 4: Simplify right side
    26,307,997,342x = 3,768,418,827,938,056,634,368
  5. Step 5: Solve for x
    x = 3,768,418,827,938,056,634,368/26,307,997,342
  6. Step 6: Final answer
    x = 143,242,329,659.27

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.