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Finding the Third Proportional to 7,823,972 and 11,968,430

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Solution

The third proportional to 7,823,972 and 11,968,430 is: 18,308,260.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823,972 : 11,968,430 = 11,968,430 : x
  2. Step 2: Convert to fraction form
    7,823,972/11,968,430 = 11,968,430/x
  3. Step 3: Cross multiply
    7,823,972x = 11,968,430 × 11,968,430
  4. Step 4: Simplify right side
    7,823,972x = 143,243,316,664,900
  5. Step 5: Solve for x
    x = 143,243,316,664,900/7,823,972
  6. Step 6: Final answer
    x = 18,308,260.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.