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Finding the Third Proportional to 1,927,358,092 and 2,600,458,576

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Solution

The third proportional to 1,927,358,092 and 2,600,458,576 is: 3,508,629,161.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927,358,092 : 2,600,458,576 = 2,600,458,576 : x
  2. Step 2: Convert to fraction form
    1,927,358,092/2,600,458,576 = 2,600,458,576/x
  3. Step 3: Cross multiply
    1,927,358,092x = 2,600,458,576 × 2,600,458,576
  4. Step 4: Simplify right side
    1,927,358,092x = 6,762,384,805,491,947,520
  5. Step 5: Solve for x
    x = 6,762,384,805,491,947,520/1,927,358,092
  6. Step 6: Final answer
    x = 3,508,629,161.11

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.