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Finding the Third Proportional to 2,720,839,024 and 4,080,549,929

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Solution

The third proportional to 2,720,839,024 and 4,080,549,929 is: 6,119,762,167.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720,839,024 : 4,080,549,929 = 4,080,549,929 : x
  2. Step 2: Convert to fraction form
    2,720,839,024/4,080,549,929 = 4,080,549,929/x
  3. Step 3: Cross multiply
    2,720,839,024x = 4,080,549,929 × 4,080,549,929
  4. Step 4: Simplify right side
    2,720,839,024x = 16,650,887,723,061,905,408
  5. Step 5: Solve for x
    x = 16,650,887,723,061,905,408/2,720,839,024
  6. Step 6: Final answer
    x = 6,119,762,167.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.