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Finding the Third Proportional to 13,886,199,121 and 30,425,320,574

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Solution

The third proportional to 13,886,199,121 and 30,425,320,574 is: 66,663,319,743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886,199,121 : 30,425,320,574 = 30,425,320,574 : x
  2. Step 2: Convert to fraction form
    13,886,199,121/30,425,320,574 = 30,425,320,574/x
  3. Step 3: Cross multiply
    13,886,199,121x = 30,425,320,574 × 30,425,320,574
  4. Step 4: Simplify right side
    13,886,199,121x = 925,700,132,030,667,685,888
  5. Step 5: Solve for x
    x = 925,700,132,030,667,685,888/13,886,199,121
  6. Step 6: Final answer
    x = 66,663,319,743.90

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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.