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Finding the Third Proportional to 54,634,953,656 and 121,832,254,000

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Solution

The third proportional to 54,634,953,656 and 121,832,254,000 is: 271,677,692,053.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,634,953,656 : 121,832,254,000 = 121,832,254,000 : x
  2. Step 2: Convert to fraction form
    54,634,953,656/121,832,254,000 = 121,832,254,000/x
  3. Step 3: Cross multiply
    54,634,953,656x = 121,832,254,000 × 121,832,254,000
  4. Step 4: Simplify right side
    54,634,953,656x = 14,843,098,114,720,515,751,936
  5. Step 5: Solve for x
    x = 14,843,098,114,720,515,751,936/54,634,953,656
  6. Step 6: Final answer
    x = 271,677,692,053.66

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.