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Finding the Third Proportional to 32,027,679,942 and 68,875,415,574

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Solution

The third proportional to 32,027,679,942 and 68,875,415,574 is: 148,116,344,333.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,027,679,942 : 68,875,415,574 = 68,875,415,574 : x
  2. Step 2: Convert to fraction form
    32,027,679,942/68,875,415,574 = 68,875,415,574/x
  3. Step 3: Cross multiply
    32,027,679,942x = 68,875,415,574 × 68,875,415,574
  4. Step 4: Simplify right side
    32,027,679,942x = 4,743,822,870,491,201,273,856
  5. Step 5: Solve for x
    x = 4,743,822,870,491,201,273,856/32,027,679,942
  6. Step 6: Final answer
    x = 148,116,344,333.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.