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Finding the Third Proportional to 47,192,906,102 and 101,117,235,826

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Solution

The third proportional to 47,192,906,102 and 101,117,235,826 is: 216,657,464,556.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,192,906,102 : 101,117,235,826 = 101,117,235,826 : x
  2. Step 2: Convert to fraction form
    47,192,906,102/101,117,235,826 = 101,117,235,826/x
  3. Step 3: Cross multiply
    47,192,906,102x = 101,117,235,826 × 101,117,235,826
  4. Step 4: Simplify right side
    47,192,906,102x = 10,224,695,381,090,898,018,304
  5. Step 5: Solve for x
    x = 10,224,695,381,090,898,018,304/47,192,906,102
  6. Step 6: Final answer
    x = 216,657,464,556.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.