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Finding the Third Proportional to 898,354,245,246 and 1,997,567,679,322

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Solution

The third proportional to 898,354,245,246 and 1,997,567,679,322 is: 4,441,762,984,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,354,245,246 : 1,997,567,679,322 = 1,997,567,679,322 : x
  2. Step 2: Convert to fraction form
    898,354,245,246/1,997,567,679,322 = 1,997,567,679,322/x
  3. Step 3: Cross multiply
    898,354,245,246x = 1,997,567,679,322 × 1,997,567,679,322
  4. Step 4: Simplify right side
    898,354,245,246x = 3,990,276,633,471,880,668,381,184
  5. Step 5: Solve for x
    x = 3,990,276,633,471,880,668,381,184/898,354,245,246
  6. Step 6: Final answer
    x = 4,441,762,984,466.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.