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Finding the Third Proportional to 436,971,812 and 936,271,624

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Solution

The third proportional to 436,971,812 and 936,271,624 is: 2,006,089,477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,971,812 : 936,271,624 = 936,271,624 : x
  2. Step 2: Convert to fraction form
    436,971,812/936,271,624 = 936,271,624/x
  3. Step 3: Cross multiply
    436,971,812x = 936,271,624 × 936,271,624
  4. Step 4: Simplify right side
    436,971,812x = 876,604,553,907,597,312
  5. Step 5: Solve for x
    x = 876,604,553,907,597,312/436,971,812
  6. Step 6: Final answer
    x = 2,006,089,477.25

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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.