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Finding the Third Proportional to 21,027,428,116 and 45,244,053,988

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Solution

The third proportional to 21,027,428,116 and 45,244,053,988 is: 97,350,204,217.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,027,428,116 : 45,244,053,988 = 45,244,053,988 : x
  2. Step 2: Convert to fraction form
    21,027,428,116/45,244,053,988 = 45,244,053,988/x
  3. Step 3: Cross multiply
    21,027,428,116x = 45,244,053,988 × 45,244,053,988
  4. Step 4: Simplify right side
    21,027,428,116x = 2,047,024,421,269,058,617,344
  5. Step 5: Solve for x
    x = 2,047,024,421,269,058,617,344/21,027,428,116
  6. Step 6: Final answer
    x = 97,350,204,217.86

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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.