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Finding the Third Proportional to 7,234,469,112 and 15,671,083,011

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Solution

The third proportional to 7,234,469,112 and 15,671,083,011 is: 33,946,214,841.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234,469,112 : 15,671,083,011 = 15,671,083,011 : x
  2. Step 2: Convert to fraction form
    7,234,469,112/15,671,083,011 = 15,671,083,011/x
  3. Step 3: Cross multiply
    7,234,469,112x = 15,671,083,011 × 15,671,083,011
  4. Step 4: Simplify right side
    7,234,469,112x = 245,582,842,737,652,826,112
  5. Step 5: Solve for x
    x = 245,582,842,737,652,826,112/7,234,469,112
  6. Step 6: Final answer
    x = 33,946,214,841.16

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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.