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Finding the Third Proportional to 2,849,061,810 and 6,277,756,800

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Solution

The third proportional to 2,849,061,810 and 6,277,756,800 is: 13,832,704,612.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849,061,810 : 6,277,756,800 = 6,277,756,800 : x
  2. Step 2: Convert to fraction form
    2,849,061,810/6,277,756,800 = 6,277,756,800/x
  3. Step 3: Cross multiply
    2,849,061,810x = 6,277,756,800 × 6,277,756,800
  4. Step 4: Simplify right side
    2,849,061,810x = 39,410,230,439,946,240,000
  5. Step 5: Solve for x
    x = 39,410,230,439,946,240,000/2,849,061,810
  6. Step 6: Final answer
    x = 13,832,704,612.31

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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.