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Finding the Third Proportional to 6,663,935,876 and 9,750,599,158

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Solution

The third proportional to 6,663,935,876 and 9,750,599,158 is: 14,266,971,607.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663,935,876 : 9,750,599,158 = 9,750,599,158 : x
  2. Step 2: Convert to fraction form
    6,663,935,876/9,750,599,158 = 9,750,599,158/x
  3. Step 3: Cross multiply
    6,663,935,876x = 9,750,599,158 × 9,750,599,158
  4. Step 4: Simplify right side
    6,663,935,876x = 95,074,183,939,990,306,816
  5. Step 5: Solve for x
    x = 95,074,183,939,990,306,816/6,663,935,876
  6. Step 6: Final answer
    x = 14,266,971,607.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.