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Finding the Third Proportional to 7,676,666,680 and 11,794,349,910

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Solution

The third proportional to 7,676,666,680 and 11,794,349,910 is: 18,120,715,096.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676,666,680 : 11,794,349,910 = 11,794,349,910 : x
  2. Step 2: Convert to fraction form
    7,676,666,680/11,794,349,910 = 11,794,349,910/x
  3. Step 3: Cross multiply
    7,676,666,680x = 11,794,349,910 × 11,794,349,910
  4. Step 4: Simplify right side
    7,676,666,680x = 139,106,689,799,517,011,968
  5. Step 5: Solve for x
    x = 139,106,689,799,517,011,968/7,676,666,680
  6. Step 6: Final answer
    x = 18,120,715,096.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.