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Finding the Third Proportional to 63,754,972,002 and 139,520,038,194

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Solution

The third proportional to 63,754,972,002 and 139,520,038,194 is: 305,322,713,608.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,754,972,002 : 139,520,038,194 = 139,520,038,194 : x
  2. Step 2: Convert to fraction form
    63,754,972,002/139,520,038,194 = 139,520,038,194/x
  3. Step 3: Cross multiply
    63,754,972,002x = 139,520,038,194 × 139,520,038,194
  4. Step 4: Simplify right side
    63,754,972,002x = 19,465,841,057,655,219,552,256
  5. Step 5: Solve for x
    x = 19,465,841,057,655,219,552,256/63,754,972,002
  6. Step 6: Final answer
    x = 305,322,713,608.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.