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Finding the Third Proportional to 61,548,656 and 133,310,944

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Solution

The third proportional to 61,548,656 and 133,310,944 is: 288,744,043.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,548,656 : 133,310,944 = 133,310,944 : x
  2. Step 2: Convert to fraction form
    61,548,656/133,310,944 = 133,310,944/x
  3. Step 3: Cross multiply
    61,548,656x = 133,310,944 × 133,310,944
  4. Step 4: Simplify right side
    61,548,656x = 17,771,807,790,171,136
  5. Step 5: Solve for x
    x = 17,771,807,790,171,136/61,548,656
  6. Step 6: Final answer
    x = 288,744,043.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.