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Finding the Third Proportional to 436,971,890 and 936,271,782

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Solution

The third proportional to 436,971,890 and 936,271,782 is: 2,006,089,796.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,971,890 : 936,271,782 = 936,271,782 : x
  2. Step 2: Convert to fraction form
    436,971,890/936,271,782 = 936,271,782/x
  3. Step 3: Cross multiply
    436,971,890x = 936,271,782 × 936,271,782
  4. Step 4: Simplify right side
    436,971,890x = 876,604,849,769,455,488
  5. Step 5: Solve for x
    x = 876,604,849,769,455,488/436,971,890
  6. Step 6: Final answer
    x = 2,006,089,796.23

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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.