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Finding the Third Proportional to 76,927,338,404 and 167,097,285,055

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Solution

The third proportional to 76,927,338,404 and 167,097,285,055 is: 362,959,427,065.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,927,338,404 : 167,097,285,055 = 167,097,285,055 : x
  2. Step 2: Convert to fraction form
    76,927,338,404/167,097,285,055 = 167,097,285,055/x
  3. Step 3: Cross multiply
    76,927,338,404x = 167,097,285,055 × 167,097,285,055
  4. Step 4: Simplify right side
    76,927,338,404x = 27,921,502,672,751,926,706,176
  5. Step 5: Solve for x
    x = 27,921,502,672,751,926,706,176/76,927,338,404
  6. Step 6: Final answer
    x = 362,959,427,065.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.