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Finding the Third Proportional to 21,772,581,824 and 47,502,771,472

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Solution

The third proportional to 21,772,581,824 and 47,502,771,472 is: 103,640,133,988.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,772,581,824 : 47,502,771,472 = 47,502,771,472 : x
  2. Step 2: Convert to fraction form
    21,772,581,824/47,502,771,472 = 47,502,771,472/x
  3. Step 3: Cross multiply
    21,772,581,824x = 47,502,771,472 × 47,502,771,472
  4. Step 4: Simplify right side
    21,772,581,824x = 2,256,513,297,521,056,940,032
  5. Step 5: Solve for x
    x = 2,256,513,297,521,056,940,032/21,772,581,824
  6. Step 6: Final answer
    x = 103,640,133,988.78

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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.