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Finding the Third Proportional to 1,178,158,966 and 1,757,021,542

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Solution

The third proportional to 1,178,158,966 and 1,757,021,542 is: 2,620,295,552.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178,158,966 : 1,757,021,542 = 1,757,021,542 : x
  2. Step 2: Convert to fraction form
    1,178,158,966/1,757,021,542 = 1,757,021,542/x
  3. Step 3: Cross multiply
    1,178,158,966x = 1,757,021,542 × 1,757,021,542
  4. Step 4: Simplify right side
    1,178,158,966x = 3,087,124,699,052,057,600
  5. Step 5: Solve for x
    x = 3,087,124,699,052,057,600/1,178,158,966
  6. Step 6: Final answer
    x = 2,620,295,552.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.