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Finding the Third Proportional to 47,192,658,470 and 101,116,747,906

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Solution

The third proportional to 47,192,658,470 and 101,116,747,906 is: 216,656,510,537.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,192,658,470 : 101,116,747,906 = 101,116,747,906 : x
  2. Step 2: Convert to fraction form
    47,192,658,470/101,116,747,906 = 101,116,747,906/x
  3. Step 3: Cross multiply
    47,192,658,470x = 101,116,747,906 × 101,116,747,906
  4. Step 4: Simplify right side
    47,192,658,470x = 10,224,596,707,085,555,597,312
  5. Step 5: Solve for x
    x = 10,224,596,707,085,555,597,312/47,192,658,470
  6. Step 6: Final answer
    x = 216,656,510,537.23

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