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Finding the Third Proportional to 908,614,188 and 1,976,426,910

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Solution

The third proportional to 908,614,188 and 1,976,426,910 is: 4,299,144,105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,614,188 : 1,976,426,910 = 1,976,426,910 : x
  2. Step 2: Convert to fraction form
    908,614,188/1,976,426,910 = 1,976,426,910/x
  3. Step 3: Cross multiply
    908,614,188x = 1,976,426,910 × 1,976,426,910
  4. Step 4: Simplify right side
    908,614,188x = 3,906,263,330,572,148,224
  5. Step 5: Solve for x
    x = 3,906,263,330,572,148,224/908,614,188
  6. Step 6: Final answer
    x = 4,299,144,105.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.