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Finding the Third Proportional to 173,337,882,120 and 351,549,630,768

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Solution

The third proportional to 173,337,882,120 and 351,549,630,768 is: 712,984,036,620.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,337,882,120 : 351,549,630,768 = 351,549,630,768 : x
  2. Step 2: Convert to fraction form
    173,337,882,120/351,549,630,768 = 351,549,630,768/x
  3. Step 3: Cross multiply
    173,337,882,120x = 351,549,630,768 × 351,549,630,768
  4. Step 4: Simplify right side
    173,337,882,120x = 123,587,142,893,117,137,485,824
  5. Step 5: Solve for x
    x = 123,587,142,893,117,137,485,824/173,337,882,120
  6. Step 6: Final answer
    x = 712,984,036,620.22

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.