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Finding the Third Proportional to 2,879,549,823 and 4,300,455,297.75

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Solution

The third proportional to 2,879,549,823 and 4,300,455,297.75 is: 6,422,502,441.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879,549,823 : 4,300,455,297.75 = 4,300,455,297.75 : x
  2. Step 2: Convert to fraction form
    2,879,549,823/4,300,455,297.75 = 4,300,455,297.75/x
  3. Step 3: Cross multiply
    2,879,549,823x = 4,300,455,297.75 × 4,300,455,297.75
  4. Step 4: Simplify right side
    2,879,549,823x = 18,493,915,767,946,039,296
  5. Step 5: Solve for x
    x = 18,493,915,767,946,039,296/2,879,549,823
  6. Step 6: Final answer
    x = 6,422,502,441.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.