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Finding the Third Proportional to 3,244,255,102 and 6,660,497,950

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Solution

The third proportional to 3,244,255,102 and 6,660,497,950 is: 13,674,088,981.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244,255,102 : 6,660,497,950 = 6,660,497,950 : x
  2. Step 2: Convert to fraction form
    3,244,255,102/6,660,497,950 = 6,660,497,950/x
  3. Step 3: Cross multiply
    3,244,255,102x = 6,660,497,950 × 6,660,497,950
  4. Step 4: Simplify right side
    3,244,255,102x = 44,362,232,941,954,203,648
  5. Step 5: Solve for x
    x = 44,362,232,941,954,203,648/3,244,255,102
  6. Step 6: Final answer
    x = 13,674,088,981.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.