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Finding the Third Proportional to 1,364,646,096 and 1,995,789,360

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Solution

The third proportional to 1,364,646,096 and 1,995,789,360 is: 2,918,833,814.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364,646,096 : 1,995,789,360 = 1,995,789,360 : x
  2. Step 2: Convert to fraction form
    1,364,646,096/1,995,789,360 = 1,995,789,360/x
  3. Step 3: Cross multiply
    1,364,646,096x = 1,995,789,360 × 1,995,789,360
  4. Step 4: Simplify right side
    1,364,646,096x = 3,983,175,169,489,209,344
  5. Step 5: Solve for x
    x = 3,983,175,169,489,209,344/1,364,646,096
  6. Step 6: Final answer
    x = 2,918,833,814.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.