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Finding the Third Proportional to 30,475,215 and 65,083,497

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Solution

The third proportional to 30,475,215 and 65,083,497 is: 138,993,657.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,475,215 : 65,083,497 = 65,083,497 : x
  2. Step 2: Convert to fraction form
    30,475,215/65,083,497 = 65,083,497/x
  3. Step 3: Cross multiply
    30,475,215x = 65,083,497 × 65,083,497
  4. Step 4: Simplify right side
    30,475,215x = 4,235,861,581,749,009
  5. Step 5: Solve for x
    x = 4,235,861,581,749,009/30,475,215
  6. Step 6: Final answer
    x = 138,993,657.03

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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.