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Finding the Third Proportional to 671,533,477.45 and 1,445,103,626.91

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Solution

The third proportional to 671,533,477.45 and 1,445,103,626.91 is: 3,109,784,638.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,533,477.45 : 1,445,103,626.91 = 1,445,103,626.91 : x
  2. Step 2: Convert to fraction form
    671,533,477.45/1,445,103,626.91 = 1,445,103,626.91/x
  3. Step 3: Cross multiply
    671,533,477.45x = 1,445,103,626.91 × 1,445,103,626.91
  4. Step 4: Simplify right side
    671,533,477.45x = 2,088,324,492,497,453,568
  5. Step 5: Solve for x
    x = 2,088,324,492,497,453,568/671,533,477.45
  6. Step 6: Final answer
    x = 3,109,784,638.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.