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Finding the Third Proportional to 1,271,572,291,606 and 1,954,497,778,989

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Solution

The third proportional to 1,271,572,291,606 and 1,954,497,778,989 is: 3,004,203,216,199.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271,572,291,606 : 1,954,497,778,989 = 1,954,497,778,989 : x
  2. Step 2: Convert to fraction form
    1,271,572,291,606/1,954,497,778,989 = 1,954,497,778,989/x
  3. Step 3: Cross multiply
    1,271,572,291,606x = 1,954,497,778,989 × 1,954,497,778,989
  4. Step 4: Simplify right side
    1,271,572,291,606x = 3,820,061,568,072,934,068,584,448
  5. Step 5: Solve for x
    x = 3,820,061,568,072,934,068,584,448/1,271,572,291,606
  6. Step 6: Final answer
    x = 3,004,203,216,199.52

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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.