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Finding the Third Proportional to 407,093,009,712 and 894,941,668,104

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Solution

The third proportional to 407,093,009,712 and 894,941,668,104 is: 1,967,414,252,274.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,093,009,712 : 894,941,668,104 = 894,941,668,104 : x
  2. Step 2: Convert to fraction form
    407,093,009,712/894,941,668,104 = 894,941,668,104/x
  3. Step 3: Cross multiply
    407,093,009,712x = 894,941,668,104 × 894,941,668,104
  4. Step 4: Simplify right side
    407,093,009,712x = 800,920,589,308,770,029,404,160
  5. Step 5: Solve for x
    x = 800,920,589,308,770,029,404,160/407,093,009,712
  6. Step 6: Final answer
    x = 1,967,414,252,274.65

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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.