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Finding the Third Proportional to 641,119,204 and 1,016,007,916

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Solution

The third proportional to 641,119,204 and 1,016,007,916 is: 1,610,109,444.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,119,204 : 1,016,007,916 = 1,016,007,916 : x
  2. Step 2: Convert to fraction form
    641,119,204/1,016,007,916 = 1,016,007,916/x
  3. Step 3: Cross multiply
    641,119,204x = 1,016,007,916 × 1,016,007,916
  4. Step 4: Simplify right side
    641,119,204x = 1,032,272,085,374,663,040
  5. Step 5: Solve for x
    x = 1,032,272,085,374,663,040/641,119,204
  6. Step 6: Final answer
    x = 1,610,109,444.44

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.