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Finding the Third Proportional to 1,474,778,321 and 3,159,913,630

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Solution

The third proportional to 1,474,778,321 and 3,159,913,630 is: 6,770,545,787.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474,778,321 : 3,159,913,630 = 3,159,913,630 : x
  2. Step 2: Convert to fraction form
    1,474,778,321/3,159,913,630 = 3,159,913,630/x
  3. Step 3: Cross multiply
    1,474,778,321x = 3,159,913,630 × 3,159,913,630
  4. Step 4: Simplify right side
    1,474,778,321x = 9,985,054,149,059,776,512
  5. Step 5: Solve for x
    x = 9,985,054,149,059,776,512/1,474,778,321
  6. Step 6: Final answer
    x = 6,770,545,787.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.