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Finding the Third Proportional to 67,482,189,673 and 145,120,216,858

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Solution

The third proportional to 67,482,189,673 and 145,120,216,858 is: 312,080,527,365.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,482,189,673 : 145,120,216,858 = 145,120,216,858 : x
  2. Step 2: Convert to fraction form
    67,482,189,673/145,120,216,858 = 145,120,216,858/x
  3. Step 3: Cross multiply
    67,482,189,673x = 145,120,216,858 × 145,120,216,858
  4. Step 4: Simplify right side
    67,482,189,673x = 21,059,877,340,912,946,249,728
  5. Step 5: Solve for x
    x = 21,059,877,340,912,946,249,728/67,482,189,673
  6. Step 6: Final answer
    x = 312,080,527,365.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.