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Finding the Third Proportional to 5,040,825,361 and 7,282,495,140

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Solution

The third proportional to 5,040,825,361 and 7,282,495,140 is: 10,521,042,025.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,040,825,361 : 7,282,495,140 = 7,282,495,140 : x
  2. Step 2: Convert to fraction form
    5,040,825,361/7,282,495,140 = 7,282,495,140/x
  3. Step 3: Cross multiply
    5,040,825,361x = 7,282,495,140 × 7,282,495,140
  4. Step 4: Simplify right side
    5,040,825,361x = 53,034,735,464,123,621,376
  5. Step 5: Solve for x
    x = 53,034,735,464,123,621,376/5,040,825,361
  6. Step 6: Final answer
    x = 10,521,042,025.07

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.