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Finding the Third Proportional to 61,548,471 and 133,310,566.50

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Solution

The third proportional to 61,548,471 and 133,310,566.50 is: 288,743,275.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,548,471 : 133,310,566.50 = 133,310,566.50 : x
  2. Step 2: Convert to fraction form
    61,548,471/133,310,566.50 = 133,310,566.50/x
  3. Step 3: Cross multiply
    61,548,471x = 133,310,566.50 × 133,310,566.50
  4. Step 4: Simplify right side
    61,548,471x = 17,771,707,140,550,922
  5. Step 5: Solve for x
    x = 17,771,707,140,550,922/61,548,471
  6. Step 6: Final answer
    x = 288,743,275.86

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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.