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Finding the Third Proportional to 14,995,303,381.69 and 31,231,759,204.69

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Solution

The third proportional to 14,995,303,381.69 and 31,231,759,204.69 is: 65,048,552,749.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,995,303,381.69 : 31,231,759,204.69 = 31,231,759,204.69 : x
  2. Step 2: Convert to fraction form
    14,995,303,381.69/31,231,759,204.69 = 31,231,759,204.69/x
  3. Step 3: Cross multiply
    14,995,303,381.69x = 31,231,759,204.69 × 31,231,759,204.69
  4. Step 4: Simplify right side
    14,995,303,381.69x = 975,422,783,019,488,772,096
  5. Step 5: Solve for x
    x = 975,422,783,019,488,772,096/14,995,303,381.69
  6. Step 6: Final answer
    x = 65,048,552,749.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.