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Finding the Third Proportional to 742,405,884.75 and 1,612,501,715.25

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Solution

The third proportional to 742,405,884.75 and 1,612,501,715.25 is: 3,502,345,327.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,405,884.75 : 1,612,501,715.25 = 1,612,501,715.25 : x
  2. Step 2: Convert to fraction form
    742,405,884.75/1,612,501,715.25 = 1,612,501,715.25/x
  3. Step 3: Cross multiply
    742,405,884.75x = 1,612,501,715.25 × 1,612,501,715.25
  4. Step 4: Simplify right side
    742,405,884.75x = 2,600,161,781,684,192,256
  5. Step 5: Solve for x
    x = 2,600,161,781,684,192,256/742,405,884.75
  6. Step 6: Final answer
    x = 3,502,345,327.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.