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Finding the Third Proportional to 31,804,537 and 69,240,804.25

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Solution

The third proportional to 31,804,537 and 69,240,804.25 is: 150,742,297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,804,537 : 69,240,804.25 = 69,240,804.25 : x
  2. Step 2: Convert to fraction form
    31,804,537/69,240,804.25 = 69,240,804.25/x
  3. Step 3: Cross multiply
    31,804,537x = 69,240,804.25 × 69,240,804.25
  4. Step 4: Simplify right side
    31,804,537x = 4,794,288,973,186,818
  5. Step 5: Solve for x
    x = 4,794,288,973,186,818/31,804,537
  6. Step 6: Final answer
    x = 150,742,297.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.