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Finding the Third Proportional to 5,164,661,805 and 11,047,359,450

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Solution

The third proportional to 5,164,661,805 and 11,047,359,450 is: 23,630,618,117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164,661,805 : 11,047,359,450 = 11,047,359,450 : x
  2. Step 2: Convert to fraction form
    5,164,661,805/11,047,359,450 = 11,047,359,450/x
  3. Step 3: Cross multiply
    5,164,661,805x = 11,047,359,450 × 11,047,359,450
  4. Step 4: Simplify right side
    5,164,661,805x = 122,044,150,817,504,296,960
  5. Step 5: Solve for x
    x = 122,044,150,817,504,296,960/5,164,661,805
  6. Step 6: Final answer
    x = 23,630,618,117.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.