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Finding the Third Proportional to 30,661,204.50 and 47,128,383

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Solution

The third proportional to 30,661,204.50 and 47,128,383 is: 72,439,570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,661,204.50 : 47,128,383 = 47,128,383 : x
  2. Step 2: Convert to fraction form
    30,661,204.50/47,128,383 = 47,128,383/x
  3. Step 3: Cross multiply
    30,661,204.50x = 47,128,383 × 47,128,383
  4. Step 4: Simplify right side
    30,661,204.50x = 2,221,084,484,194,689
  5. Step 5: Solve for x
    x = 2,221,084,484,194,689/30,661,204.50
  6. Step 6: Final answer
    x = 72,439,570.47

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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.