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Finding the Third Proportional to 4,112,295,084 and 6,264,863,040

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Solution

The third proportional to 4,112,295,084 and 6,264,863,040 is: 9,544,185,937.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,112,295,084 : 6,264,863,040 = 6,264,863,040 : x
  2. Step 2: Convert to fraction form
    4,112,295,084/6,264,863,040 = 6,264,863,040/x
  3. Step 3: Cross multiply
    4,112,295,084x = 6,264,863,040 × 6,264,863,040
  4. Step 4: Simplify right side
    4,112,295,084x = 39,248,508,909,958,037,504
  5. Step 5: Solve for x
    x = 39,248,508,909,958,037,504/4,112,295,084
  6. Step 6: Final answer
    x = 9,544,185,937.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.