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Finding the Third Proportional to 45,728,988,588 and 99,056,719,896

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Solution

The third proportional to 45,728,988,588 and 99,056,719,896 is: 214,573,601,112.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,728,988,588 : 99,056,719,896 = 99,056,719,896 : x
  2. Step 2: Convert to fraction form
    45,728,988,588/99,056,719,896 = 99,056,719,896/x
  3. Step 3: Cross multiply
    45,728,988,588x = 99,056,719,896 × 99,056,719,896
  4. Step 4: Simplify right side
    45,728,988,588x = 9,812,233,756,554,601,431,040
  5. Step 5: Solve for x
    x = 9,812,233,756,554,601,431,040/45,728,988,588
  6. Step 6: Final answer
    x = 214,573,601,112.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.