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Finding the Third Proportional to 54,634,926,693 and 121,832,193,603

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Solution

The third proportional to 54,634,926,693 and 121,832,193,603 is: 271,677,556,767.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,634,926,693 : 121,832,193,603 = 121,832,193,603 : x
  2. Step 2: Convert to fraction form
    54,634,926,693/121,832,193,603 = 121,832,193,603/x
  3. Step 3: Cross multiply
    54,634,926,693x = 121,832,193,603 × 121,832,193,603
  4. Step 4: Simplify right side
    54,634,926,693x = 14,843,083,398,118,874,546,176
  5. Step 5: Solve for x
    x = 14,843,083,398,118,874,546,176/54,634,926,693
  6. Step 6: Final answer
    x = 271,677,556,767.38

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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.