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Finding the Third Proportional to 316,558,635,012 and 682,705,692,936

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Solution

The third proportional to 316,558,635,012 and 682,705,692,936 is: 1,472,356,181,816.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,558,635,012 : 682,705,692,936 = 682,705,692,936 : x
  2. Step 2: Convert to fraction form
    316,558,635,012/682,705,692,936 = 682,705,692,936/x
  3. Step 3: Cross multiply
    316,558,635,012x = 682,705,692,936 × 682,705,692,936
  4. Step 4: Simplify right side
    316,558,635,012x = 466,087,063,167,223,895,949,312
  5. Step 5: Solve for x
    x = 466,087,063,167,223,895,949,312/316,558,635,012
  6. Step 6: Final answer
    x = 1,472,356,181,816.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.