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Finding the Third Proportional to 1,271,572,291,604 and 1,954,497,778,986

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Solution

The third proportional to 1,271,572,291,604 and 1,954,497,778,986 is: 3,004,203,216,195.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271,572,291,604 : 1,954,497,778,986 = 1,954,497,778,986 : x
  2. Step 2: Convert to fraction form
    1,271,572,291,604/1,954,497,778,986 = 1,954,497,778,986/x
  3. Step 3: Cross multiply
    1,271,572,291,604x = 1,954,497,778,986 × 1,954,497,778,986
  4. Step 4: Simplify right side
    1,271,572,291,604x = 3,820,061,568,061,206,660,382,720
  5. Step 5: Solve for x
    x = 3,820,061,568,061,206,660,382,720/1,271,572,291,604
  6. Step 6: Final answer
    x = 3,004,203,216,195.02

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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.