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Finding the Third Proportional to 30,475,209 and 65,083,485

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Solution

The third proportional to 30,475,209 and 65,083,485 is: 138,993,633.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,475,209 : 65,083,485 = 65,083,485 : x
  2. Step 2: Convert to fraction form
    30,475,209/65,083,485 = 65,083,485/x
  3. Step 3: Cross multiply
    30,475,209x = 65,083,485 × 65,083,485
  4. Step 4: Simplify right side
    30,475,209x = 4,235,860,019,745,225
  5. Step 5: Solve for x
    x = 4,235,860,019,745,225/30,475,209
  6. Step 6: Final answer
    x = 138,993,633.14

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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.