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Finding the Third Proportional to 425,121,058,068 and 936,895,327,110

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Solution

The third proportional to 425,121,058,068 and 936,895,327,110 is: 2,064,759,760,313.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,121,058,068 : 936,895,327,110 = 936,895,327,110 : x
  2. Step 2: Convert to fraction form
    425,121,058,068/936,895,327,110 = 936,895,327,110/x
  3. Step 3: Cross multiply
    425,121,058,068x = 936,895,327,110 × 936,895,327,110
  4. Step 4: Simplify right side
    425,121,058,068x = 877,772,853,960,553,915,219,968
  5. Step 5: Solve for x
    x = 877,772,853,960,553,915,219,968/425,121,058,068
  6. Step 6: Final answer
    x = 2,064,759,760,313.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.