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Finding the Third Proportional to 30,475,264.50 and 65,083,594.50

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Solution

The third proportional to 30,475,264.50 and 65,083,594.50 is: 138,993,847.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,475,264.50 : 65,083,594.50 = 65,083,594.50 : x
  2. Step 2: Convert to fraction form
    30,475,264.50/65,083,594.50 = 65,083,594.50/x
  3. Step 3: Cross multiply
    30,475,264.50x = 65,083,594.50 × 65,083,594.50
  4. Step 4: Simplify right side
    30,475,264.50x = 4,235,874,273,040,430
  5. Step 5: Solve for x
    x = 4,235,874,273,040,430/30,475,264.50
  6. Step 6: Final answer
    x = 138,993,847.72

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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.