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Finding the Third Proportional to 2,096,974,214 and 3,255,952,215

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Solution

The third proportional to 2,096,974,214 and 3,255,952,215 is: 5,055,486,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096,974,214 : 3,255,952,215 = 3,255,952,215 : x
  2. Step 2: Convert to fraction form
    2,096,974,214/3,255,952,215 = 3,255,952,215/x
  3. Step 3: Cross multiply
    2,096,974,214x = 3,255,952,215 × 3,255,952,215
  4. Step 4: Simplify right side
    2,096,974,214x = 10,601,224,826,363,406,336
  5. Step 5: Solve for x
    x = 10,601,224,826,363,406,336/2,096,974,214
  6. Step 6: Final answer
    x = 5,055,486,498.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.