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Finding the Third Proportional to 7,673,024 and 16,807,936

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Solution

The third proportional to 7,673,024 and 16,807,936 is: 36,818,171.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673,024 : 16,807,936 = 16,807,936 : x
  2. Step 2: Convert to fraction form
    7,673,024/16,807,936 = 16,807,936/x
  3. Step 3: Cross multiply
    7,673,024x = 16,807,936 × 16,807,936
  4. Step 4: Simplify right side
    7,673,024x = 282,506,712,580,096
  5. Step 5: Solve for x
    x = 282,506,712,580,096/7,673,024
  6. Step 6: Final answer
    x = 36,818,171.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.