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Finding the Third Proportional to 1,660,980,610 and 3,920,901,320

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Solution

The third proportional to 1,660,980,610 and 3,920,901,320 is: 9,255,657,211.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660,980,610 : 3,920,901,320 = 3,920,901,320 : x
  2. Step 2: Convert to fraction form
    1,660,980,610/3,920,901,320 = 3,920,901,320/x
  3. Step 3: Cross multiply
    1,660,980,610x = 3,920,901,320 × 3,920,901,320
  4. Step 4: Simplify right side
    1,660,980,610x = 15,373,467,161,177,743,360
  5. Step 5: Solve for x
    x = 15,373,467,161,177,743,360/1,660,980,610
  6. Step 6: Final answer
    x = 9,255,657,211.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.