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Finding the Third Proportional to 422,098,012 and 916,857,800

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Solution

The third proportional to 422,098,012 and 916,857,800 is: 1,991,547,464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,098,012 : 916,857,800 = 916,857,800 : x
  2. Step 2: Convert to fraction form
    422,098,012/916,857,800 = 916,857,800/x
  3. Step 3: Cross multiply
    422,098,012x = 916,857,800 × 916,857,800
  4. Step 4: Simplify right side
    422,098,012x = 840,628,225,420,839,936
  5. Step 5: Solve for x
    x = 840,628,225,420,839,936/422,098,012
  6. Step 6: Final answer
    x = 1,991,547,464.15

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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.