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Finding the Third Proportional to 1,973,922,917 and 4,389,186,825

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Solution

The third proportional to 1,973,922,917 and 4,389,186,825 is: 9,759,733,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973,922,917 : 4,389,186,825 = 4,389,186,825 : x
  2. Step 2: Convert to fraction form
    1,973,922,917/4,389,186,825 = 4,389,186,825/x
  3. Step 3: Cross multiply
    1,973,922,917x = 4,389,186,825 × 4,389,186,825
  4. Step 4: Simplify right side
    1,973,922,917x = 19,264,960,984,753,582,080
  5. Step 5: Solve for x
    x = 19,264,960,984,753,582,080/1,973,922,917
  6. Step 6: Final answer
    x = 9,759,733,178.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.