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Finding the Third Proportional to 1,173,992,535 and 2,558,922,894

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Solution

The third proportional to 1,173,992,535 and 2,558,922,894 is: 5,577,621,818.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173,992,535 : 2,558,922,894 = 2,558,922,894 : x
  2. Step 2: Convert to fraction form
    1,173,992,535/2,558,922,894 = 2,558,922,894/x
  3. Step 3: Cross multiply
    1,173,992,535x = 2,558,922,894 × 2,558,922,894
  4. Step 4: Simplify right side
    1,173,992,535x = 6,548,086,377,437,335,552
  5. Step 5: Solve for x
    x = 6,548,086,377,437,335,552/1,173,992,535
  6. Step 6: Final answer
    x = 5,577,621,818.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.