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Finding the Third Proportional to 1,461,549,512.25 and 3,448,995,255

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Solution

The third proportional to 1,461,549,512.25 and 3,448,995,255 is: 8,139,011,486.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,549,512.25 : 3,448,995,255 = 3,448,995,255 : x
  2. Step 2: Convert to fraction form
    1,461,549,512.25/3,448,995,255 = 3,448,995,255/x
  3. Step 3: Cross multiply
    1,461,549,512.25x = 3,448,995,255 × 3,448,995,255
  4. Step 4: Simplify right side
    1,461,549,512.25x = 11,895,568,269,012,514,816
  5. Step 5: Solve for x
    x = 11,895,568,269,012,514,816/1,461,549,512.25
  6. Step 6: Final answer
    x = 8,139,011,486.99

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.