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Finding the Third Proportional to 1,396,894,125 and 3,041,794,047

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Solution

The third proportional to 1,396,894,125 and 3,041,794,047 is: 6,623,630,852.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396,894,125 : 3,041,794,047 = 3,041,794,047 : x
  2. Step 2: Convert to fraction form
    1,396,894,125/3,041,794,047 = 3,041,794,047/x
  3. Step 3: Cross multiply
    1,396,894,125x = 3,041,794,047 × 3,041,794,047
  4. Step 4: Simplify right side
    1,396,894,125x = 9,252,511,024,364,638,208
  5. Step 5: Solve for x
    x = 9,252,511,024,364,638,208/1,396,894,125
  6. Step 6: Final answer
    x = 6,623,630,852.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.