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Finding the Third Proportional to 15,734,264 and 24,300,159

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Solution

The third proportional to 15,734,264 and 24,300,159 is: 37,529,415.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,734,264 : 24,300,159 = 24,300,159 : x
  2. Step 2: Convert to fraction form
    15,734,264/24,300,159 = 24,300,159/x
  3. Step 3: Cross multiply
    15,734,264x = 24,300,159 × 24,300,159
  4. Step 4: Simplify right side
    15,734,264x = 590,497,727,425,281
  5. Step 5: Solve for x
    x = 590,497,727,425,281/15,734,264
  6. Step 6: Final answer
    x = 37,529,415.26

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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.