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Finding the Third Proportional to 660,883,827 and 999,839,522.50

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Solution

The third proportional to 660,883,827 and 999,839,522.50 is: 1,512,639,634.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,883,827 : 999,839,522.50 = 999,839,522.50 : x
  2. Step 2: Convert to fraction form
    660,883,827/999,839,522.50 = 999,839,522.50/x
  3. Step 3: Cross multiply
    660,883,827x = 999,839,522.50 × 999,839,522.50
  4. Step 4: Simplify right side
    660,883,827x = 999,679,070,753,027,968
  5. Step 5: Solve for x
    x = 999,679,070,753,027,968/660,883,827
  6. Step 6: Final answer
    x = 1,512,639,634.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.