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Finding the Third Proportional to 33,982,813,985 and 53,309,007,584

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Solution

The third proportional to 33,982,813,985 and 53,309,007,584 is: 83,626,102,618.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,982,813,985 : 53,309,007,584 = 53,309,007,584 : x
  2. Step 2: Convert to fraction form
    33,982,813,985/53,309,007,584 = 53,309,007,584/x
  3. Step 3: Cross multiply
    33,982,813,985x = 53,309,007,584 × 53,309,007,584
  4. Step 4: Simplify right side
    33,982,813,985x = 2,841,850,289,590,969,565,184
  5. Step 5: Solve for x
    x = 2,841,850,289,590,969,565,184/33,982,813,985
  6. Step 6: Final answer
    x = 83,626,102,618.97

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.