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Finding the Third Proportional to 1,836,341,850 and 3,934,661,980

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Solution

The third proportional to 1,836,341,850 and 3,934,661,980 is: 8,430,655,161.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836,341,850 : 3,934,661,980 = 3,934,661,980 : x
  2. Step 2: Convert to fraction form
    1,836,341,850/3,934,661,980 = 3,934,661,980/x
  3. Step 3: Cross multiply
    1,836,341,850x = 3,934,661,980 × 3,934,661,980
  4. Step 4: Simplify right side
    1,836,341,850x = 15,481,564,896,857,520,128
  5. Step 5: Solve for x
    x = 15,481,564,896,857,520,128/1,836,341,850
  6. Step 6: Final answer
    x = 8,430,655,161.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.