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Finding the Third Proportional to 47,192,658,464 and 101,116,747,894

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Solution

The third proportional to 47,192,658,464 and 101,116,747,894 is: 216,656,510,513.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,192,658,464 : 101,116,747,894 = 101,116,747,894 : x
  2. Step 2: Convert to fraction form
    47,192,658,464/101,116,747,894 = 101,116,747,894/x
  3. Step 3: Cross multiply
    47,192,658,464x = 101,116,747,894 × 101,116,747,894
  4. Step 4: Simplify right side
    47,192,658,464x = 10,224,596,704,658,754,371,584
  5. Step 5: Solve for x
    x = 10,224,596,704,658,754,371,584/47,192,658,464
  6. Step 6: Final answer
    x = 216,656,510,513.35

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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.