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Finding the Third Proportional to 6,658,491,364.50 and 14,489,145,411.75

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Solution

The third proportional to 6,658,491,364.50 and 14,489,145,411.75 is: 31,528,964,035.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658,491,364.50 : 14,489,145,411.75 = 14,489,145,411.75 : x
  2. Step 2: Convert to fraction form
    6,658,491,364.50/14,489,145,411.75 = 14,489,145,411.75/x
  3. Step 3: Cross multiply
    6,658,491,364.50x = 14,489,145,411.75 × 14,489,145,411.75
  4. Step 4: Simplify right side
    6,658,491,364.50x = 209,935,334,762,836,066,304
  5. Step 5: Solve for x
    x = 209,935,334,762,836,066,304/6,658,491,364.50
  6. Step 6: Final answer
    x = 31,528,964,035.62

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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.