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Finding the Third Proportional to 3,066,573,002 and 6,670,441,026

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Solution

The third proportional to 3,066,573,002 and 6,670,441,026 is: 14,509,611,691.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066,573,002 : 6,670,441,026 = 6,670,441,026 : x
  2. Step 2: Convert to fraction form
    3,066,573,002/6,670,441,026 = 6,670,441,026/x
  3. Step 3: Cross multiply
    3,066,573,002x = 6,670,441,026 × 6,670,441,026
  4. Step 4: Simplify right side
    3,066,573,002x = 44,494,783,481,343,934,464
  5. Step 5: Solve for x
    x = 44,494,783,481,343,934,464/3,066,573,002
  6. Step 6: Final answer
    x = 14,509,611,691.07

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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.