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Finding the Third Proportional to 682,407,980 and 1,473,554,696

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Solution

The third proportional to 682,407,980 and 1,473,554,696 is: 3,181,913,907.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,407,980 : 1,473,554,696 = 1,473,554,696 : x
  2. Step 2: Convert to fraction form
    682,407,980/1,473,554,696 = 1,473,554,696/x
  3. Step 3: Cross multiply
    682,407,980x = 1,473,554,696 × 1,473,554,696
  4. Step 4: Simplify right side
    682,407,980x = 2,171,363,442,103,652,352
  5. Step 5: Solve for x
    x = 2,171,363,442,103,652,352/682,407,980
  6. Step 6: Final answer
    x = 3,181,913,907.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.