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Finding the Third Proportional to 1,243,141,456 and 1,864,255,704

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Solution

The third proportional to 1,243,141,456 and 1,864,255,704 is: 2,795,699,003.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243,141,456 : 1,864,255,704 = 1,864,255,704 : x
  2. Step 2: Convert to fraction form
    1,243,141,456/1,864,255,704 = 1,864,255,704/x
  3. Step 3: Cross multiply
    1,243,141,456x = 1,864,255,704 × 1,864,255,704
  4. Step 4: Simplify right side
    1,243,141,456x = 3,475,449,329,896,535,552
  5. Step 5: Solve for x
    x = 3,475,449,329,896,535,552/1,243,141,456
  6. Step 6: Final answer
    x = 2,795,699,003.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.