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Finding the Third Proportional to 3,642,365,526 and 7,837,162,860

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Solution

The third proportional to 3,642,365,526 and 7,837,162,860 is: 16,862,975,792.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642,365,526 : 7,837,162,860 = 7,837,162,860 : x
  2. Step 2: Convert to fraction form
    3,642,365,526/7,837,162,860 = 7,837,162,860/x
  3. Step 3: Cross multiply
    3,642,365,526x = 7,837,162,860 × 7,837,162,860
  4. Step 4: Simplify right side
    3,642,365,526x = 61,421,121,694,163,378,176
  5. Step 5: Solve for x
    x = 61,421,121,694,163,378,176/3,642,365,526
  6. Step 6: Final answer
    x = 16,862,975,792.99

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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.