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Finding the Third Proportional to 682,407,377 and 1,473,552,070

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Solution

The third proportional to 682,407,377 and 1,473,552,070 is: 3,181,905,378.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,407,377 : 1,473,552,070 = 1,473,552,070 : x
  2. Step 2: Convert to fraction form
    682,407,377/1,473,552,070 = 1,473,552,070/x
  3. Step 3: Cross multiply
    682,407,377x = 1,473,552,070 × 1,473,552,070
  4. Step 4: Simplify right side
    682,407,377x = 2,171,355,703,001,284,864
  5. Step 5: Solve for x
    x = 2,171,355,703,001,284,864/682,407,377
  6. Step 6: Final answer
    x = 3,181,905,378.20

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