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Finding the Third Proportional to 422,098,014 and 916,857,804

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Solution

The third proportional to 422,098,014 and 916,857,804 is: 1,991,547,472.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,098,014 : 916,857,804 = 916,857,804 : x
  2. Step 2: Convert to fraction form
    422,098,014/916,857,804 = 916,857,804/x
  3. Step 3: Cross multiply
    422,098,014x = 916,857,804 × 916,857,804
  4. Step 4: Simplify right side
    422,098,014x = 840,628,232,755,702,400
  5. Step 5: Solve for x
    x = 840,628,232,755,702,400/422,098,014
  6. Step 6: Final answer
    x = 1,991,547,472.09

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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.