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Finding the Third Proportional to 11,480,679,655.88 and 17,970,399,299.81

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Solution

The third proportional to 11,480,679,655.88 and 17,970,399,299.81 is: 28,128,583,034.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,480,679,655.88 : 17,970,399,299.81 = 17,970,399,299.81 : x
  2. Step 2: Convert to fraction form
    11,480,679,655.88/17,970,399,299.81 = 17,970,399,299.81/x
  3. Step 3: Cross multiply
    11,480,679,655.88x = 17,970,399,299.81 × 17,970,399,299.81
  4. Step 4: Simplify right side
    11,480,679,655.88x = 322,935,250,994,683,641,856
  5. Step 5: Solve for x
    x = 322,935,250,994,683,641,856/11,480,679,655.88
  6. Step 6: Final answer
    x = 28,128,583,034.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.