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Finding the Third Proportional to 1,451,081,286 and 2,963,069,064

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Solution

The third proportional to 1,451,081,286 and 2,963,069,064 is: 6,050,507,550.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451,081,286 : 2,963,069,064 = 2,963,069,064 : x
  2. Step 2: Convert to fraction form
    1,451,081,286/2,963,069,064 = 2,963,069,064/x
  3. Step 3: Cross multiply
    1,451,081,286x = 2,963,069,064 × 2,963,069,064
  4. Step 4: Simplify right side
    1,451,081,286x = 8,779,778,278,033,836,032
  5. Step 5: Solve for x
    x = 8,779,778,278,033,836,032/1,451,081,286
  6. Step 6: Final answer
    x = 6,050,507,550.98

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.