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Finding the Third Proportional to 12,417,808,867,640 and 27,022,239,996,640

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Solution

The third proportional to 12,417,808,867,640 and 27,022,239,996,640 is: 58,802,761,599,823.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417,808,867,640 : 27,022,239,996,640 = 27,022,239,996,640 : x
  2. Step 2: Convert to fraction form
    12,417,808,867,640/27,022,239,996,640 = 27,022,239,996,640/x
  3. Step 3: Cross multiply
    12,417,808,867,640x = 27,022,239,996,640 × 27,022,239,996,640
  4. Step 4: Simplify right side
    12,417,808,867,640x = 730,201,454,436,010,563,957,948,416
  5. Step 5: Solve for x
    x = 730,201,454,436,010,563,957,948,416/12,417,808,867,640
  6. Step 6: Final answer
    x = 58,802,761,599,823.62

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Why These Related Problems?

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