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Finding the Third Proportional to 32,838,804,382 and 71,696,975,493

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Solution

The third proportional to 32,838,804,382 and 71,696,975,493 is: 156,536,036,910.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,838,804,382 : 71,696,975,493 = 71,696,975,493 : x
  2. Step 2: Convert to fraction form
    32,838,804,382/71,696,975,493 = 71,696,975,493/x
  3. Step 3: Cross multiply
    32,838,804,382x = 71,696,975,493 × 71,696,975,493
  4. Step 4: Simplify right side
    32,838,804,382x = 5,140,456,294,843,842,297,856
  5. Step 5: Solve for x
    x = 5,140,456,294,843,842,297,856/32,838,804,382
  6. Step 6: Final answer
    x = 156,536,036,910.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.