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Finding the Third Proportional to 398,742,340,086 and 857,961,319,064

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Solution

The third proportional to 398,742,340,086 and 857,961,319,064 is: 1,846,048,314,937.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,742,340,086 : 857,961,319,064 = 857,961,319,064 : x
  2. Step 2: Convert to fraction form
    398,742,340,086/857,961,319,064 = 857,961,319,064/x
  3. Step 3: Cross multiply
    398,742,340,086x = 857,961,319,064 × 857,961,319,064
  4. Step 4: Simplify right side
    398,742,340,086x = 736,097,625,010,038,789,636,096
  5. Step 5: Solve for x
    x = 736,097,625,010,038,789,636,096/398,742,340,086
  6. Step 6: Final answer
    x = 1,846,048,314,937.61

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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.