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Finding the Third Proportional to 30,661,519.78 and 47,128,840.03

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Solution

The third proportional to 30,661,519.78 and 47,128,840.03 is: 72,440,230.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,661,519.78 : 47,128,840.03 = 47,128,840.03 : x
  2. Step 2: Convert to fraction form
    30,661,519.78/47,128,840.03 = 47,128,840.03/x
  3. Step 3: Cross multiply
    30,661,519.78x = 47,128,840.03 × 47,128,840.03
  4. Step 4: Simplify right side
    30,661,519.78x = 2,221,127,562,691,152.50
  5. Step 5: Solve for x
    x = 2,221,127,562,691,152.50/30,661,519.78
  6. Step 6: Final answer
    x = 72,440,230.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.