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Finding the Third Proportional to 282,725,028.75 and 616,356,468.38

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Solution

The third proportional to 282,725,028.75 and 616,356,468.38 is: 1,343,691,776.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,725,028.75 : 616,356,468.38 = 616,356,468.38 : x
  2. Step 2: Convert to fraction form
    282,725,028.75/616,356,468.38 = 616,356,468.38/x
  3. Step 3: Cross multiply
    282,725,028.75x = 616,356,468.38 × 616,356,468.38
  4. Step 4: Simplify right side
    282,725,028.75x = 379,895,296,107,702,400
  5. Step 5: Solve for x
    x = 379,895,296,107,702,400/282,725,028.75
  6. Step 6: Final answer
    x = 1,343,691,776.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.