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Finding the Third Proportional to 15,734,175 and 24,300,009

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Solution

The third proportional to 15,734,175 and 24,300,009 is: 37,529,164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,734,175 : 24,300,009 = 24,300,009 : x
  2. Step 2: Convert to fraction form
    15,734,175/24,300,009 = 24,300,009/x
  3. Step 3: Cross multiply
    15,734,175x = 24,300,009 × 24,300,009
  4. Step 4: Simplify right side
    15,734,175x = 590,490,437,400,081
  5. Step 5: Solve for x
    x = 590,490,437,400,081/15,734,175
  6. Step 6: Final answer
    x = 37,529,164.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.