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Finding the Third Proportional to 3,123,630,676.69 and 6,756,745,627.69

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Solution

The third proportional to 3,123,630,676.69 and 6,756,745,627.69 is: 14,615,559,969.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123,630,676.69 : 6,756,745,627.69 = 6,756,745,627.69 : x
  2. Step 2: Convert to fraction form
    3,123,630,676.69/6,756,745,627.69 = 6,756,745,627.69/x
  3. Step 3: Cross multiply
    3,123,630,676.69x = 6,756,745,627.69 × 6,756,745,627.69
  4. Step 4: Simplify right side
    3,123,630,676.69x = 45,653,611,477,274,148,864
  5. Step 5: Solve for x
    x = 45,653,611,477,274,148,864/3,123,630,676.69
  6. Step 6: Final answer
    x = 14,615,559,969.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.