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Finding the Third Proportional to 9,637,274.50 and 15,497,896

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Solution

The third proportional to 9,637,274.50 and 15,497,896 is: 24,922,479.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637,274.50 : 15,497,896 = 15,497,896 : x
  2. Step 2: Convert to fraction form
    9,637,274.50/15,497,896 = 15,497,896/x
  3. Step 3: Cross multiply
    9,637,274.50x = 15,497,896 × 15,497,896
  4. Step 4: Simplify right side
    9,637,274.50x = 240,184,780,426,816
  5. Step 5: Solve for x
    x = 240,184,780,426,816/9,637,274.50
  6. Step 6: Final answer
    x = 24,922,479.94

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.