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Finding the Third Proportional to 2,083,098,650 and 4,456,121,580

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Solution

The third proportional to 2,083,098,650 and 4,456,121,580 is: 9,532,443,187.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083,098,650 : 4,456,121,580 = 4,456,121,580 : x
  2. Step 2: Convert to fraction form
    2,083,098,650/4,456,121,580 = 4,456,121,580/x
  3. Step 3: Cross multiply
    2,083,098,650x = 4,456,121,580 × 4,456,121,580
  4. Step 4: Simplify right side
    2,083,098,650x = 19,857,019,535,741,698,048
  5. Step 5: Solve for x
    x = 19,857,019,535,741,698,048/2,083,098,650
  6. Step 6: Final answer
    x = 9,532,443,187.82

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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.