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Finding the Third Proportional to 422,098,008 and 916,857,792

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Solution

The third proportional to 422,098,008 and 916,857,792 is: 1,991,547,448.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,098,008 : 916,857,792 = 916,857,792 : x
  2. Step 2: Convert to fraction form
    422,098,008/916,857,792 = 916,857,792/x
  3. Step 3: Cross multiply
    422,098,008x = 916,857,792 × 916,857,792
  4. Step 4: Simplify right side
    422,098,008x = 840,628,210,751,115,264
  5. Step 5: Solve for x
    x = 840,628,210,751,115,264/422,098,008
  6. Step 6: Final answer
    x = 1,991,547,448.27

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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.