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Finding the Third Proportional to 10,527,589,044 and 23,408,996,700

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Solution

The third proportional to 10,527,589,044 and 23,408,996,700 is: 52,051,910,861.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527,589,044 : 23,408,996,700 = 23,408,996,700 : x
  2. Step 2: Convert to fraction form
    10,527,589,044/23,408,996,700 = 23,408,996,700/x
  3. Step 3: Cross multiply
    10,527,589,044x = 23,408,996,700 × 23,408,996,700
  4. Step 4: Simplify right side
    10,527,589,044x = 547,981,126,500,610,867,200
  5. Step 5: Solve for x
    x = 547,981,126,500,610,867,200/10,527,589,044
  6. Step 6: Final answer
    x = 52,051,910,861.10

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.