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Finding the Third Proportional to 30,694,854 and 46,031,009

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Solution

The third proportional to 30,694,854 and 46,031,009 is: 69,029,609.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,694,854 : 46,031,009 = 46,031,009 : x
  2. Step 2: Convert to fraction form
    30,694,854/46,031,009 = 46,031,009/x
  3. Step 3: Cross multiply
    30,694,854x = 46,031,009 × 46,031,009
  4. Step 4: Simplify right side
    30,694,854x = 2,118,853,789,558,081
  5. Step 5: Solve for x
    x = 2,118,853,789,558,081/30,694,854
  6. Step 6: Final answer
    x = 69,029,609.64

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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.