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Finding the Third Proportional to 422,097,995.25 and 916,857,768

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Solution

The third proportional to 422,097,995.25 and 916,857,768 is: 1,991,547,404.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,097,995.25 : 916,857,768 = 916,857,768 : x
  2. Step 2: Convert to fraction form
    422,097,995.25/916,857,768 = 916,857,768/x
  3. Step 3: Cross multiply
    422,097,995.25x = 916,857,768 × 916,857,768
  4. Step 4: Simplify right side
    422,097,995.25x = 840,628,166,741,941,760
  5. Step 5: Solve for x
    x = 840,628,166,741,941,760/422,097,995.25
  6. Step 6: Final answer
    x = 1,991,547,404.16

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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.