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Finding the Third Proportional to 3,141,758,670 and 4,685,393,043

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Solution

The third proportional to 3,141,758,670 and 4,685,393,043 is: 6,987,458,386.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141,758,670 : 4,685,393,043 = 4,685,393,043 : x
  2. Step 2: Convert to fraction form
    3,141,758,670/4,685,393,043 = 4,685,393,043/x
  3. Step 3: Cross multiply
    3,141,758,670x = 4,685,393,043 × 4,685,393,043
  4. Step 4: Simplify right side
    3,141,758,670x = 21,952,907,967,392,800,768
  5. Step 5: Solve for x
    x = 21,952,907,967,392,800,768/3,141,758,670
  6. Step 6: Final answer
    x = 6,987,458,386.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.