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Finding the Third Proportional to 436,971,819 and 936,271,635

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Solution

The third proportional to 436,971,819 and 936,271,635 is: 2,006,089,492.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,971,819 : 936,271,635 = 936,271,635 : x
  2. Step 2: Convert to fraction form
    436,971,819/936,271,635 = 936,271,635/x
  3. Step 3: Cross multiply
    436,971,819x = 936,271,635 × 936,271,635
  4. Step 4: Simplify right side
    436,971,819x = 876,604,574,505,573,248
  5. Step 5: Solve for x
    x = 876,604,574,505,573,248/436,971,819
  6. Step 6: Final answer
    x = 2,006,089,492.25

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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.