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Finding the Third Proportional to 4,663,192,665 and 6,668,420,406

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Solution

The third proportional to 4,663,192,665 and 6,668,420,406 is: 9,535,919,681.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663,192,665 : 6,668,420,406 = 6,668,420,406 : x
  2. Step 2: Convert to fraction form
    4,663,192,665/6,668,420,406 = 6,668,420,406/x
  3. Step 3: Cross multiply
    4,663,192,665x = 6,668,420,406 × 6,668,420,406
  4. Step 4: Simplify right side
    4,663,192,665x = 44,467,830,711,157,202,944
  5. Step 5: Solve for x
    x = 44,467,830,711,157,202,944/4,663,192,665
  6. Step 6: Final answer
    x = 9,535,919,681.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.