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Finding the Third Proportional to 1,170,186,752 and 2,437,229,173

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Solution

The third proportional to 1,170,186,752 and 2,437,229,173 is: 5,076,186,370.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170,186,752 : 2,437,229,173 = 2,437,229,173 : x
  2. Step 2: Convert to fraction form
    1,170,186,752/2,437,229,173 = 2,437,229,173/x
  3. Step 3: Cross multiply
    1,170,186,752x = 2,437,229,173 × 2,437,229,173
  4. Step 4: Simplify right side
    1,170,186,752x = 5,940,086,041,722,263,552
  5. Step 5: Solve for x
    x = 5,940,086,041,722,263,552/1,170,186,752
  6. Step 6: Final answer
    x = 5,076,186,370.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.