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Finding the Third Proportional to 61,436,181 and 131,989,641

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Solution

The third proportional to 61,436,181 and 131,989,641 is: 283,566,866.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,436,181 : 131,989,641 = 131,989,641 : x
  2. Step 2: Convert to fraction form
    61,436,181/131,989,641 = 131,989,641/x
  3. Step 3: Cross multiply
    61,436,181x = 131,989,641 × 131,989,641
  4. Step 4: Simplify right side
    61,436,181x = 17,421,265,331,308,880
  5. Step 5: Solve for x
    x = 17,421,265,331,308,880/61,436,181
  6. Step 6: Final answer
    x = 283,566,866.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.