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Finding the Third Proportional to 393,886,354.50 and 911,775,609

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Solution

The third proportional to 393,886,354.50 and 911,775,609 is: 2,110,595,484.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,886,354.50 : 911,775,609 = 911,775,609 : x
  2. Step 2: Convert to fraction form
    393,886,354.50/911,775,609 = 911,775,609/x
  3. Step 3: Cross multiply
    393,886,354.50x = 911,775,609 × 911,775,609
  4. Step 4: Simplify right side
    393,886,354.50x = 831,334,761,167,320,832
  5. Step 5: Solve for x
    x = 831,334,761,167,320,832/393,886,354.50
  6. Step 6: Final answer
    x = 2,110,595,484.38

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.