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Finding the Third Proportional to 251,659,681,608 and 552,041,973,600

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Solution

The third proportional to 251,659,681,608 and 552,041,973,600 is: 1,210,962,116,255.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,659,681,608 : 552,041,973,600 = 552,041,973,600 : x
  2. Step 2: Convert to fraction form
    251,659,681,608/552,041,973,600 = 552,041,973,600/x
  3. Step 3: Cross multiply
    251,659,681,608x = 552,041,973,600 × 552,041,973,600
  4. Step 4: Simplify right side
    251,659,681,608x = 304,750,340,616,183,110,172,672
  5. Step 5: Solve for x
    x = 304,750,340,616,183,110,172,672/251,659,681,608
  6. Step 6: Final answer
    x = 1,210,962,116,255.40

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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.