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Finding the Third Proportional to 592,277,278,636 and 902,293,465,218

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Solution

The third proportional to 592,277,278,636 and 902,293,465,218 is: 1,374,581,681,151.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,277,278,636 : 902,293,465,218 = 902,293,465,218 : x
  2. Step 2: Convert to fraction form
    592,277,278,636/902,293,465,218 = 902,293,465,218/x
  3. Step 3: Cross multiply
    592,277,278,636x = 902,293,465,218 × 902,293,465,218
  4. Step 4: Simplify right side
    592,277,278,636x = 814,133,497,375,106,118,189,056
  5. Step 5: Solve for x
    x = 814,133,497,375,106,118,189,056/592,277,278,636
  6. Step 6: Final answer
    x = 1,374,581,681,151.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.