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Finding the Third Proportional to 530,771,447.25 and 830,809,743.75

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Solution

The third proportional to 530,771,447.25 and 830,809,743.75 is: 1,300,455,843.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,771,447.25 : 830,809,743.75 = 830,809,743.75 : x
  2. Step 2: Convert to fraction form
    530,771,447.25/830,809,743.75 = 830,809,743.75/x
  3. Step 3: Cross multiply
    530,771,447.25x = 830,809,743.75 × 830,809,743.75
  4. Step 4: Simplify right side
    530,771,447.25x = 690,244,830,309,940,608
  5. Step 5: Solve for x
    x = 690,244,830,309,940,608/530,771,447.25
  6. Step 6: Final answer
    x = 1,300,455,843.82

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.