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Finding the Third Proportional to 4,936,107,723 and 10,677,326,403

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Solution

The third proportional to 4,936,107,723 and 10,677,326,403 is: 23,096,193,501.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936,107,723 : 10,677,326,403 = 10,677,326,403 : x
  2. Step 2: Convert to fraction form
    4,936,107,723/10,677,326,403 = 10,677,326,403/x
  3. Step 3: Cross multiply
    4,936,107,723x = 10,677,326,403 × 10,677,326,403
  4. Step 4: Simplify right side
    4,936,107,723x = 114,005,299,116,200,919,040
  5. Step 5: Solve for x
    x = 114,005,299,116,200,919,040/4,936,107,723
  6. Step 6: Final answer
    x = 23,096,193,501.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.