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Finding the Third Proportional to 2,763,036,615 and 6,010,186,456

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Solution

The third proportional to 2,763,036,615 and 6,010,186,456 is: 13,073,421,119.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763,036,615 : 6,010,186,456 = 6,010,186,456 : x
  2. Step 2: Convert to fraction form
    2,763,036,615/6,010,186,456 = 6,010,186,456/x
  3. Step 3: Cross multiply
    2,763,036,615x = 6,010,186,456 × 6,010,186,456
  4. Step 4: Simplify right side
    2,763,036,615x = 36,122,341,235,885,838,336
  5. Step 5: Solve for x
    x = 36,122,341,235,885,838,336/2,763,036,615
  6. Step 6: Final answer
    x = 13,073,421,119.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.