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Finding the Third Proportional to 13,153,598,430 and 19,004,678,253

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Solution

The third proportional to 13,153,598,430 and 19,004,678,253 is: 27,458,478,181.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153,598,430 : 19,004,678,253 = 19,004,678,253 : x
  2. Step 2: Convert to fraction form
    13,153,598,430/19,004,678,253 = 19,004,678,253/x
  3. Step 3: Cross multiply
    13,153,598,430x = 19,004,678,253 × 19,004,678,253
  4. Step 4: Simplify right side
    13,153,598,430x = 361,177,795,500,051,136,512
  5. Step 5: Solve for x
    x = 361,177,795,500,051,136,512/13,153,598,430
  6. Step 6: Final answer
    x = 27,458,478,181.63

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.