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Finding the Third Proportional to 46,605,137 and 69,907,681

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Solution

The third proportional to 46,605,137 and 69,907,681 is: 104,861,484.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,605,137 : 69,907,681 = 69,907,681 : x
  2. Step 2: Convert to fraction form
    46,605,137/69,907,681 = 69,907,681/x
  3. Step 3: Cross multiply
    46,605,137x = 69,907,681 × 69,907,681
  4. Step 4: Simplify right side
    46,605,137x = 4,887,083,862,797,761
  5. Step 5: Solve for x
    x = 4,887,083,862,797,761/46,605,137
  6. Step 6: Final answer
    x = 104,861,484.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.