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Finding the Third Proportional to 1,776,412,728 and 3,849,369,360

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Solution

The third proportional to 1,776,412,728 and 3,849,369,360 is: 8,341,329,825.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776,412,728 : 3,849,369,360 = 3,849,369,360 : x
  2. Step 2: Convert to fraction form
    1,776,412,728/3,849,369,360 = 3,849,369,360/x
  3. Step 3: Cross multiply
    1,776,412,728x = 3,849,369,360 × 3,849,369,360
  4. Step 4: Simplify right side
    1,776,412,728x = 14,817,644,469,706,809,344
  5. Step 5: Solve for x
    x = 14,817,644,469,706,809,344/1,776,412,728
  6. Step 6: Final answer
    x = 8,341,329,825.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.