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Finding the Third Proportional to 1,271,572,291,602 and 1,954,497,778,983

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Solution

The third proportional to 1,271,572,291,602 and 1,954,497,778,983 is: 3,004,203,216,190.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271,572,291,602 : 1,954,497,778,983 = 1,954,497,778,983 : x
  2. Step 2: Convert to fraction form
    1,271,572,291,602/1,954,497,778,983 = 1,954,497,778,983/x
  3. Step 3: Cross multiply
    1,271,572,291,602x = 1,954,497,778,983 × 1,954,497,778,983
  4. Step 4: Simplify right side
    1,271,572,291,602x = 3,820,061,568,049,479,789,051,904
  5. Step 5: Solve for x
    x = 3,820,061,568,049,479,789,051,904/1,271,572,291,602
  6. Step 6: Final answer
    x = 3,004,203,216,190.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.