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Finding the Third Proportional to 833,072,404 and 1,735,097,721

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Solution

The third proportional to 833,072,404 and 1,735,097,721 is: 3,613,808,460.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,072,404 : 1,735,097,721 = 1,735,097,721 : x
  2. Step 2: Convert to fraction form
    833,072,404/1,735,097,721 = 1,735,097,721/x
  3. Step 3: Cross multiply
    833,072,404x = 1,735,097,721 × 1,735,097,721
  4. Step 4: Simplify right side
    833,072,404x = 3,010,564,101,419,394,048
  5. Step 5: Solve for x
    x = 3,010,564,101,419,394,048/833,072,404
  6. Step 6: Final answer
    x = 3,613,808,460.06

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.