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Finding the Third Proportional to 436,971,896 and 936,271,795

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Solution

The third proportional to 436,971,896 and 936,271,795 is: 2,006,089,824.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,971,896 : 936,271,795 = 936,271,795 : x
  2. Step 2: Convert to fraction form
    436,971,896/936,271,795 = 936,271,795/x
  3. Step 3: Cross multiply
    436,971,896x = 936,271,795 × 936,271,795
  4. Step 4: Simplify right side
    436,971,896x = 876,604,874,112,521,984
  5. Step 5: Solve for x
    x = 876,604,874,112,521,984/436,971,896
  6. Step 6: Final answer
    x = 2,006,089,824.40

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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.