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Finding the Third Proportional to 422,098,016 and 916,857,808

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Solution

The third proportional to 422,098,016 and 916,857,808 is: 1,991,547,480.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,098,016 : 916,857,808 = 916,857,808 : x
  2. Step 2: Convert to fraction form
    422,098,016/916,857,808 = 916,857,808/x
  3. Step 3: Cross multiply
    422,098,016x = 916,857,808 × 916,857,808
  4. Step 4: Simplify right side
    422,098,016x = 840,628,240,090,564,864
  5. Step 5: Solve for x
    x = 840,628,240,090,564,864/422,098,016
  6. Step 6: Final answer
    x = 1,991,547,480.03

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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.