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Finding the Third Proportional to 5,443,897,127.13 and 8,407,609,835.41

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Solution

The third proportional to 5,443,897,127.13 and 8,407,609,835.41 is: 12,984,797,745.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,443,897,127.13 : 8,407,609,835.41 = 8,407,609,835.41 : x
  2. Step 2: Convert to fraction form
    5,443,897,127.13/8,407,609,835.41 = 8,407,609,835.41/x
  3. Step 3: Cross multiply
    5,443,897,127.13x = 8,407,609,835.41 × 8,407,609,835.41
  4. Step 4: Simplify right side
    5,443,897,127.13x = 70,687,903,144,556,953,600
  5. Step 5: Solve for x
    x = 70,687,903,144,556,953,600/5,443,897,127.13
  6. Step 6: Final answer
    x = 12,984,797,745.76

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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.