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Finding the Third Proportional to 9,645,958,566 and 20,894,776,920

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Solution

The third proportional to 9,645,958,566 and 20,894,776,920 is: 45,261,619,107.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645,958,566 : 20,894,776,920 = 20,894,776,920 : x
  2. Step 2: Convert to fraction form
    9,645,958,566/20,894,776,920 = 20,894,776,920/x
  3. Step 3: Cross multiply
    9,645,958,566x = 20,894,776,920 × 20,894,776,920
  4. Step 4: Simplify right side
    9,645,958,566x = 436,591,702,536,564,703,232
  5. Step 5: Solve for x
    x = 436,591,702,536,564,703,232/9,645,958,566
  6. Step 6: Final answer
    x = 45,261,619,107.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.