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Finding the Third Proportional to 6,201,803,980 and 9,532,621,190

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Solution

The third proportional to 6,201,803,980 and 9,532,621,190 is: 14,652,328,104.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201,803,980 : 9,532,621,190 = 9,532,621,190 : x
  2. Step 2: Convert to fraction form
    6,201,803,980/9,532,621,190 = 9,532,621,190/x
  3. Step 3: Cross multiply
    6,201,803,980x = 9,532,621,190 × 9,532,621,190
  4. Step 4: Simplify right side
    6,201,803,980x = 90,870,866,752,037,011,456
  5. Step 5: Solve for x
    x = 90,870,866,752,037,011,456/6,201,803,980
  6. Step 6: Final answer
    x = 14,652,328,104.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.