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Finding the Third Proportional to 5,174,830,881 and 11,256,340,605

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Solution

The third proportional to 5,174,830,881 and 11,256,340,605 is: 24,484,897,522.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174,830,881 : 11,256,340,605 = 11,256,340,605 : x
  2. Step 2: Convert to fraction form
    5,174,830,881/11,256,340,605 = 11,256,340,605/x
  3. Step 3: Cross multiply
    5,174,830,881x = 11,256,340,605 × 11,256,340,605
  4. Step 4: Simplify right side
    5,174,830,881x = 126,705,203,815,771,766,784
  5. Step 5: Solve for x
    x = 126,705,203,815,771,766,784/5,174,830,881
  6. Step 6: Final answer
    x = 24,484,897,522.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.