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Finding the Third Proportional to 7,676,666,677 and 11,794,349,905.50

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Solution

The third proportional to 7,676,666,677 and 11,794,349,905.50 is: 18,120,715,089.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676,666,677 : 11,794,349,905.50 = 11,794,349,905.50 : x
  2. Step 2: Convert to fraction form
    7,676,666,677/11,794,349,905.50 = 11,794,349,905.50/x
  3. Step 3: Cross multiply
    7,676,666,677x = 11,794,349,905.50 × 11,794,349,905.50
  4. Step 4: Simplify right side
    7,676,666,677x = 139,106,689,693,367,861,248
  5. Step 5: Solve for x
    x = 139,106,689,693,367,861,248/7,676,666,677
  6. Step 6: Final answer
    x = 18,120,715,089.81

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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.