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Finding the Third Proportional to 1,612,670,088,676 and 3,455,365,543,448

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Solution

The third proportional to 1,612,670,088,676 and 3,455,365,543,448 is: 7,403,591,796,416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612,670,088,676 : 3,455,365,543,448 = 3,455,365,543,448 : x
  2. Step 2: Convert to fraction form
    1,612,670,088,676/3,455,365,543,448 = 3,455,365,543,448/x
  3. Step 3: Cross multiply
    1,612,670,088,676x = 3,455,365,543,448 × 3,455,365,543,448
  4. Step 4: Simplify right side
    1,612,670,088,676x = 11,939,551,038,847,692,367,200,256
  5. Step 5: Solve for x
    x = 11,939,551,038,847,692,367,200,256/1,612,670,088,676
  6. Step 6: Final answer
    x = 7,403,591,796,416.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.