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Finding the Third Proportional to 908,766,414 and 1,990,516,860

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Solution

The third proportional to 908,766,414 and 1,990,516,860 is: 4,359,929,360.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,766,414 : 1,990,516,860 = 1,990,516,860 : x
  2. Step 2: Convert to fraction form
    908,766,414/1,990,516,860 = 1,990,516,860/x
  3. Step 3: Cross multiply
    908,766,414x = 1,990,516,860 × 1,990,516,860
  4. Step 4: Simplify right side
    908,766,414x = 3,962,157,369,944,259,584
  5. Step 5: Solve for x
    x = 3,962,157,369,944,259,584/908,766,414
  6. Step 6: Final answer
    x = 4,359,929,360.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.