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Finding the Third Proportional to 1,630,298,745 and 3,444,610,290

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Solution

The third proportional to 1,630,298,745 and 3,444,610,290 is: 7,278,015,815.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630,298,745 : 3,444,610,290 = 3,444,610,290 : x
  2. Step 2: Convert to fraction form
    1,630,298,745/3,444,610,290 = 3,444,610,290/x
  3. Step 3: Cross multiply
    1,630,298,745x = 3,444,610,290 × 3,444,610,290
  4. Step 4: Simplify right side
    1,630,298,745x = 11,865,340,049,973,884,928
  5. Step 5: Solve for x
    x = 11,865,340,049,973,884,928/1,630,298,745
  6. Step 6: Final answer
    x = 7,278,015,815.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.