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Finding the Third Proportional to 1,417,750,543,728 and 3,050,529,137,784

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Solution

The third proportional to 1,417,750,543,728 and 3,050,529,137,784 is: 6,563,727,350,793.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417,750,543,728 : 3,050,529,137,784 = 3,050,529,137,784 : x
  2. Step 2: Convert to fraction form
    1,417,750,543,728/3,050,529,137,784 = 3,050,529,137,784/x
  3. Step 3: Cross multiply
    1,417,750,543,728x = 3,050,529,137,784 × 3,050,529,137,784
  4. Step 4: Simplify right side
    1,417,750,543,728x = 9,305,728,020,469,194,952,802,304
  5. Step 5: Solve for x
    x = 9,305,728,020,469,194,952,802,304/1,417,750,543,728
  6. Step 6: Final answer
    x = 6,563,727,350,793.05

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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.