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Finding the Third Proportional to 1,397,505,090.75 and 2,991,323,502.75

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Solution

The third proportional to 1,397,505,090.75 and 2,991,323,502.75 is: 6,402,850,592.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,505,090.75 : 2,991,323,502.75 = 2,991,323,502.75 : x
  2. Step 2: Convert to fraction form
    1,397,505,090.75/2,991,323,502.75 = 2,991,323,502.75/x
  3. Step 3: Cross multiply
    1,397,505,090.75x = 2,991,323,502.75 × 2,991,323,502.75
  4. Step 4: Simplify right side
    1,397,505,090.75x = 8,948,016,298,104,528,896
  5. Step 5: Solve for x
    x = 8,948,016,298,104,528,896/1,397,505,090.75
  6. Step 6: Final answer
    x = 6,402,850,592.34

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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.