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Finding the Third Proportional to 24,883,816 and 35,583,900

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Solution

The third proportional to 24,883,816 and 35,583,900 is: 50,885,038.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,883,816 : 35,583,900 = 35,583,900 : x
  2. Step 2: Convert to fraction form
    24,883,816/35,583,900 = 35,583,900/x
  3. Step 3: Cross multiply
    24,883,816x = 35,583,900 × 35,583,900
  4. Step 4: Simplify right side
    24,883,816x = 1,266,213,939,210,000
  5. Step 5: Solve for x
    x = 1,266,213,939,210,000/24,883,816
  6. Step 6: Final answer
    x = 50,885,038.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.