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Finding the Third Proportional to 10,527,588,878 and 23,408,996,376

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Solution

The third proportional to 10,527,588,878 and 23,408,996,376 is: 52,051,910,240.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527,588,878 : 23,408,996,376 = 23,408,996,376 : x
  2. Step 2: Convert to fraction form
    10,527,588,878/23,408,996,376 = 23,408,996,376/x
  3. Step 3: Cross multiply
    10,527,588,878x = 23,408,996,376 × 23,408,996,376
  4. Step 4: Simplify right side
    10,527,588,878x = 547,981,111,331,581,132,800
  5. Step 5: Solve for x
    x = 547,981,111,331,581,132,800/10,527,588,878
  6. Step 6: Final answer
    x = 52,051,910,240.98

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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.