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Finding the Third Proportional to 9,619,153,184.25 and 20,685,955,846

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Solution

The third proportional to 9,619,153,184.25 and 20,685,955,846 is: 44,485,076,915.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619,153,184.25 : 20,685,955,846 = 20,685,955,846 : x
  2. Step 2: Convert to fraction form
    9,619,153,184.25/20,685,955,846 = 20,685,955,846/x
  3. Step 3: Cross multiply
    9,619,153,184.25x = 20,685,955,846 × 20,685,955,846
  4. Step 4: Simplify right side
    9,619,153,184.25x = 427,908,769,262,661,599,232
  5. Step 5: Solve for x
    x = 427,908,769,262,661,599,232/9,619,153,184.25
  6. Step 6: Final answer
    x = 44,485,076,915.43

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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.