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Finding the Third Proportional to 1,474,778,324 and 3,159,913,635

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Solution

The third proportional to 1,474,778,324 and 3,159,913,635 is: 6,770,545,795.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474,778,324 : 3,159,913,635 = 3,159,913,635 : x
  2. Step 2: Convert to fraction form
    1,474,778,324/3,159,913,635 = 3,159,913,635/x
  3. Step 3: Cross multiply
    1,474,778,324x = 3,159,913,635 × 3,159,913,635
  4. Step 4: Simplify right side
    1,474,778,324x = 9,985,054,180,658,913,280
  5. Step 5: Solve for x
    x = 9,985,054,180,658,913,280/1,474,778,324
  6. Step 6: Final answer
    x = 6,770,545,795.37

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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.