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Finding the Third Proportional to 47,192,658,468 and 101,116,747,902

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Solution

The third proportional to 47,192,658,468 and 101,116,747,902 is: 216,656,510,529.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,192,658,468 : 101,116,747,902 = 101,116,747,902 : x
  2. Step 2: Convert to fraction form
    47,192,658,468/101,116,747,902 = 101,116,747,902/x
  3. Step 3: Cross multiply
    47,192,658,468x = 101,116,747,902 × 101,116,747,902
  4. Step 4: Simplify right side
    47,192,658,468x = 10,224,596,706,276,621,156,352
  5. Step 5: Solve for x
    x = 10,224,596,706,276,621,156,352/47,192,658,468
  6. Step 6: Final answer
    x = 216,656,510,529.27

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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.