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Finding the Third Proportional to 5,164,661,812 and 11,047,359,464

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Solution

The third proportional to 5,164,661,812 and 11,047,359,464 is: 23,630,618,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164,661,812 : 11,047,359,464 = 11,047,359,464 : x
  2. Step 2: Convert to fraction form
    5,164,661,812/11,047,359,464 = 11,047,359,464/x
  3. Step 3: Cross multiply
    5,164,661,812x = 11,047,359,464 × 11,047,359,464
  4. Step 4: Simplify right side
    5,164,661,812x = 122,044,151,126,830,366,720
  5. Step 5: Solve for x
    x = 122,044,151,126,830,366,720/5,164,661,812
  6. Step 6: Final answer
    x = 23,630,618,144.88

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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.