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Finding the Third Proportional to 2,879,549,829 and 4,300,455,309

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Solution

The third proportional to 2,879,549,829 and 4,300,455,309 is: 6,422,502,461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879,549,829 : 4,300,455,309 = 4,300,455,309 : x
  2. Step 2: Convert to fraction form
    2,879,549,829/4,300,455,309 = 4,300,455,309/x
  3. Step 3: Cross multiply
    2,879,549,829x = 4,300,455,309 × 4,300,455,309
  4. Step 4: Simplify right side
    2,879,549,829x = 18,493,915,864,706,285,568
  5. Step 5: Solve for x
    x = 18,493,915,864,706,285,568/2,879,549,829
  6. Step 6: Final answer
    x = 6,422,502,461.48

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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.