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Finding the Third Proportional to 66,755,889,612 and 141,470,639,640

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Solution

The third proportional to 66,755,889,612 and 141,470,639,640 is: 299,807,882,068.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,755,889,612 : 141,470,639,640 = 141,470,639,640 : x
  2. Step 2: Convert to fraction form
    66,755,889,612/141,470,639,640 = 141,470,639,640/x
  3. Step 3: Cross multiply
    66,755,889,612x = 141,470,639,640 × 141,470,639,640
  4. Step 4: Simplify right side
    66,755,889,612x = 20,013,941,880,150,741,221,376
  5. Step 5: Solve for x
    x = 20,013,941,880,150,741,221,376/66,755,889,612
  6. Step 6: Final answer
    x = 299,807,882,068.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.