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Finding the Third Proportional to 2,994,409,566 and 6,677,329,500

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Solution

The third proportional to 2,994,409,566 and 6,677,329,500 is: 14,889,990,253.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994,409,566 : 6,677,329,500 = 6,677,329,500 : x
  2. Step 2: Convert to fraction form
    2,994,409,566/6,677,329,500 = 6,677,329,500/x
  3. Step 3: Cross multiply
    2,994,409,566x = 6,677,329,500 × 6,677,329,500
  4. Step 4: Simplify right side
    2,994,409,566x = 44,586,729,251,570,253,824
  5. Step 5: Solve for x
    x = 44,586,729,251,570,253,824/2,994,409,566
  6. Step 6: Final answer
    x = 14,889,990,253.11

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.