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Finding the Third Proportional to 24,883,814 and 35,583,897

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Solution

The third proportional to 24,883,814 and 35,583,897 is: 50,885,034.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,883,814 : 35,583,897 = 35,583,897 : x
  2. Step 2: Convert to fraction form
    24,883,814/35,583,897 = 35,583,897/x
  3. Step 3: Cross multiply
    24,883,814x = 35,583,897 × 35,583,897
  4. Step 4: Simplify right side
    24,883,814x = 1,266,213,725,706,609
  5. Step 5: Solve for x
    x = 1,266,213,725,706,609/24,883,814
  6. Step 6: Final answer
    x = 50,885,034.17

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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.