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Finding the Third Proportional to 808,618,224 and 1,242,136,500

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Solution

The third proportional to 808,618,224 and 1,242,136,500 is: 1,908,073,598.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,618,224 : 1,242,136,500 = 1,242,136,500 : x
  2. Step 2: Convert to fraction form
    808,618,224/1,242,136,500 = 1,242,136,500/x
  3. Step 3: Cross multiply
    808,618,224x = 1,242,136,500 × 1,242,136,500
  4. Step 4: Simplify right side
    808,618,224x = 1,542,903,084,632,250,112
  5. Step 5: Solve for x
    x = 1,542,903,084,632,250,112/808,618,224
  6. Step 6: Final answer
    x = 1,908,073,598.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.