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Finding the Third Proportional to 1,391,537,081 and 2,982,268,492

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Solution

The third proportional to 1,391,537,081 and 2,982,268,492 is: 6,391,439,710.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391,537,081 : 2,982,268,492 = 2,982,268,492 : x
  2. Step 2: Convert to fraction form
    1,391,537,081/2,982,268,492 = 2,982,268,492/x
  3. Step 3: Cross multiply
    1,391,537,081x = 2,982,268,492 × 2,982,268,492
  4. Step 4: Simplify right side
    1,391,537,081x = 8,893,925,358,375,954,432
  5. Step 5: Solve for x
    x = 8,893,925,358,375,954,432/1,391,537,081
  6. Step 6: Final answer
    x = 6,391,439,710.67

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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.