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Finding the Third Proportional to 30,541,290 and 65,454,468

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Solution

The third proportional to 30,541,290 and 65,454,468 is: 140,278,533.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,541,290 : 65,454,468 = 65,454,468 : x
  2. Step 2: Convert to fraction form
    30,541,290/65,454,468 = 65,454,468/x
  3. Step 3: Cross multiply
    30,541,290x = 65,454,468 × 65,454,468
  4. Step 4: Simplify right side
    30,541,290x = 4,284,287,381,163,024
  5. Step 5: Solve for x
    x = 4,284,287,381,163,024/30,541,290
  6. Step 6: Final answer
    x = 140,278,533.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.