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Finding the Third Proportional to 471,292,136 and 991,424,356

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Solution

The third proportional to 471,292,136 and 991,424,356 is: 2,085,590,186.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,292,136 : 991,424,356 = 991,424,356 : x
  2. Step 2: Convert to fraction form
    471,292,136/991,424,356 = 991,424,356/x
  3. Step 3: Cross multiply
    471,292,136x = 991,424,356 × 991,424,356
  4. Step 4: Simplify right side
    471,292,136x = 982,922,253,670,014,720
  5. Step 5: Solve for x
    x = 982,922,253,670,014,720/471,292,136
  6. Step 6: Final answer
    x = 2,085,590,186.19

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.