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Finding the Third Proportional to 10,527,588,889 and 23,408,996,394

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Solution

The third proportional to 10,527,588,889 and 23,408,996,394 is: 52,051,910,266.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527,588,889 : 23,408,996,394 = 23,408,996,394 : x
  2. Step 2: Convert to fraction form
    10,527,588,889/23,408,996,394 = 23,408,996,394/x
  3. Step 3: Cross multiply
    10,527,588,889x = 23,408,996,394 × 23,408,996,394
  4. Step 4: Simplify right side
    10,527,588,889x = 547,981,112,174,305,017,856
  5. Step 5: Solve for x
    x = 547,981,112,174,305,017,856/10,527,588,889
  6. Step 6: Final answer
    x = 52,051,910,266.64

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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.