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Finding the Third Proportional to 1,924,769,402,002 and 4,128,950,532,562

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Solution

The third proportional to 1,924,769,402,002 and 4,128,950,532,562 is: 8,857,285,700,100.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924,769,402,002 : 4,128,950,532,562 = 4,128,950,532,562 : x
  2. Step 2: Convert to fraction form
    1,924,769,402,002/4,128,950,532,562 = 4,128,950,532,562/x
  3. Step 3: Cross multiply
    1,924,769,402,002x = 4,128,950,532,562 × 4,128,950,532,562
  4. Step 4: Simplify right side
    1,924,769,402,002x = 17,048,232,500,344,022,764,617,728
  5. Step 5: Solve for x
    x = 17,048,232,500,344,022,764,617,728/1,924,769,402,002
  6. Step 6: Final answer
    x = 8,857,285,700,100.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.