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Finding the Third Proportional to 1,461,549,558 and 3,448,995,360

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Solution

The third proportional to 1,461,549,558 and 3,448,995,360 is: 8,139,011,727.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,549,558 : 3,448,995,360 = 3,448,995,360 : x
  2. Step 2: Convert to fraction form
    1,461,549,558/3,448,995,360 = 3,448,995,360/x
  3. Step 3: Cross multiply
    1,461,549,558x = 3,448,995,360 × 3,448,995,360
  4. Step 4: Simplify right side
    1,461,549,558x = 11,895,568,993,301,528,576
  5. Step 5: Solve for x
    x = 11,895,568,993,301,528,576/1,461,549,558
  6. Step 6: Final answer
    x = 8,139,011,727.79

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Why These Related Problems?

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