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Finding the Third Proportional to 20,958,891,640 and 45,454,080,416

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Solution

The third proportional to 20,958,891,640 and 45,454,080,416 is: 98,577,418,212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,958,891,640 : 45,454,080,416 = 45,454,080,416 : x
  2. Step 2: Convert to fraction form
    20,958,891,640/45,454,080,416 = 45,454,080,416/x
  3. Step 3: Cross multiply
    20,958,891,640x = 45,454,080,416 × 45,454,080,416
  4. Step 4: Simplify right side
    20,958,891,640x = 2,066,073,426,464,194,691,072
  5. Step 5: Solve for x
    x = 2,066,073,426,464,194,691,072/20,958,891,640
  6. Step 6: Final answer
    x = 98,577,418,212.38

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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.