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Finding the Third Proportional to 265,400,983,603 and 584,899,140,210

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Solution

The third proportional to 265,400,983,603 and 584,899,140,210 is: 1,289,019,353,184.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,400,983,603 : 584,899,140,210 = 584,899,140,210 : x
  2. Step 2: Convert to fraction form
    265,400,983,603/584,899,140,210 = 584,899,140,210/x
  3. Step 3: Cross multiply
    265,400,983,603x = 584,899,140,210 × 584,899,140,210
  4. Step 4: Simplify right side
    265,400,983,603x = 342,107,004,218,397,213,851,648
  5. Step 5: Solve for x
    x = 342,107,004,218,397,213,851,648/265,400,983,603
  6. Step 6: Final answer
    x = 1,289,019,353,184.23

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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.