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Finding the Third Proportional to 398,742,340,059 and 857,961,319,008

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Solution

The third proportional to 398,742,340,059 and 857,961,319,008 is: 1,846,048,314,821.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,742,340,059 : 857,961,319,008 = 857,961,319,008 : x
  2. Step 2: Convert to fraction form
    398,742,340,059/857,961,319,008 = 857,961,319,008/x
  3. Step 3: Cross multiply
    398,742,340,059x = 857,961,319,008 × 857,961,319,008
  4. Step 4: Simplify right side
    398,742,340,059x = 736,097,624,913,947,083,669,504
  5. Step 5: Solve for x
    x = 736,097,624,913,947,083,669,504/398,742,340,059
  6. Step 6: Final answer
    x = 1,846,048,314,821.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.