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Finding the Third Proportional to 13,886,199,122 and 30,425,320,576

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Solution

The third proportional to 13,886,199,122 and 30,425,320,576 is: 66,663,319,747.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886,199,122 : 30,425,320,576 = 30,425,320,576 : x
  2. Step 2: Convert to fraction form
    13,886,199,122/30,425,320,576 = 30,425,320,576/x
  3. Step 3: Cross multiply
    13,886,199,122x = 30,425,320,576 × 30,425,320,576
  4. Step 4: Simplify right side
    13,886,199,122x = 925,700,132,152,368,955,392
  5. Step 5: Solve for x
    x = 925,700,132,152,368,955,392/13,886,199,122
  6. Step 6: Final answer
    x = 66,663,319,747.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.