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Finding the Third Proportional to 740,918,785.50 and 1,610,972,813.25

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Solution

The third proportional to 740,918,785.50 and 1,610,972,813.25 is: 3,502,723,180.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,918,785.50 : 1,610,972,813.25 = 1,610,972,813.25 : x
  2. Step 2: Convert to fraction form
    740,918,785.50/1,610,972,813.25 = 1,610,972,813.25/x
  3. Step 3: Cross multiply
    740,918,785.50x = 1,610,972,813.25 × 1,610,972,813.25
  4. Step 4: Simplify right side
    740,918,785.50x = 2,595,233,405,030,619,136
  5. Step 5: Solve for x
    x = 2,595,233,405,030,619,136/740,918,785.50
  6. Step 6: Final answer
    x = 3,502,723,180.76

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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.