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Finding the Third Proportional to 809,074,272 and 1,775,630,976

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Solution

The third proportional to 809,074,272 and 1,775,630,976 is: 3,896,880,017.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,074,272 : 1,775,630,976 = 1,775,630,976 : x
  2. Step 2: Convert to fraction form
    809,074,272/1,775,630,976 = 1,775,630,976/x
  3. Step 3: Cross multiply
    809,074,272x = 1,775,630,976 × 1,775,630,976
  4. Step 4: Simplify right side
    809,074,272x = 3,152,865,362,930,712,576
  5. Step 5: Solve for x
    x = 3,152,865,362,930,712,576/809,074,272
  6. Step 6: Final answer
    x = 3,896,880,017.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.