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Finding the Third Proportional to 46,354,486 and 100,771,920

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Solution

The third proportional to 46,354,486 and 100,771,920 is: 219,072,213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,354,486 : 100,771,920 = 100,771,920 : x
  2. Step 2: Convert to fraction form
    46,354,486/100,771,920 = 100,771,920/x
  3. Step 3: Cross multiply
    46,354,486x = 100,771,920 × 100,771,920
  4. Step 4: Simplify right side
    46,354,486x = 10,154,979,860,486,400
  5. Step 5: Solve for x
    x = 10,154,979,860,486,400/46,354,486
  6. Step 6: Final answer
    x = 219,072,213.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.