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Finding the Third Proportional to 176,834,002,040 and 384,651,151,054

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Solution

The third proportional to 176,834,002,040 and 384,651,151,054 is: 836,697,164,008.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,834,002,040 : 384,651,151,054 = 384,651,151,054 : x
  2. Step 2: Convert to fraction form
    176,834,002,040/384,651,151,054 = 384,651,151,054/x
  3. Step 3: Cross multiply
    176,834,002,040x = 384,651,151,054 × 384,651,151,054
  4. Step 4: Simplify right side
    176,834,002,040x = 147,956,508,007,167,122,472,960
  5. Step 5: Solve for x
    x = 147,956,508,007,167,122,472,960/176,834,002,040
  6. Step 6: Final answer
    x = 836,697,164,008.65

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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.