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Finding the Third Proportional to 30,321,416 and 65,955,454

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Solution

The third proportional to 30,321,416 and 65,955,454 is: 143,466,977.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,321,416 : 65,955,454 = 65,955,454 : x
  2. Step 2: Convert to fraction form
    30,321,416/65,955,454 = 65,955,454/x
  3. Step 3: Cross multiply
    30,321,416x = 65,955,454 × 65,955,454
  4. Step 4: Simplify right side
    30,321,416x = 4,350,121,912,346,116
  5. Step 5: Solve for x
    x = 4,350,121,912,346,116/30,321,416
  6. Step 6: Final answer
    x = 143,466,977.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.