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Finding the Third Proportional to 275,938,829 and 600,866,458

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Solution

The third proportional to 275,938,829 and 600,866,458 is: 1,308,407,742.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,938,829 : 600,866,458 = 600,866,458 : x
  2. Step 2: Convert to fraction form
    275,938,829/600,866,458 = 600,866,458/x
  3. Step 3: Cross multiply
    275,938,829x = 600,866,458 × 600,866,458
  4. Step 4: Simplify right side
    275,938,829x = 361,040,500,349,465,792
  5. Step 5: Solve for x
    x = 361,040,500,349,465,792/275,938,829
  6. Step 6: Final answer
    x = 1,308,407,742.61

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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.