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Finding the Third Proportional to 275,938,827 and 600,866,454

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Solution

The third proportional to 275,938,827 and 600,866,454 is: 1,308,407,734.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,938,827 : 600,866,454 = 600,866,454 : x
  2. Step 2: Convert to fraction form
    275,938,827/600,866,454 = 600,866,454/x
  3. Step 3: Cross multiply
    275,938,827x = 600,866,454 × 600,866,454
  4. Step 4: Simplify right side
    275,938,827x = 361,040,495,542,534,144
  5. Step 5: Solve for x
    x = 361,040,495,542,534,144/275,938,827
  6. Step 6: Final answer
    x = 1,308,407,734.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.