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Finding the Third Proportional to 11,066,024,439 and 23,898,915,486

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Solution

The third proportional to 11,066,024,439 and 23,898,915,486 is: 51,613,672,512.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,066,024,439 : 23,898,915,486 = 23,898,915,486 : x
  2. Step 2: Convert to fraction form
    11,066,024,439/23,898,915,486 = 23,898,915,486/x
  3. Step 3: Cross multiply
    11,066,024,439x = 23,898,915,486 × 23,898,915,486
  4. Step 4: Simplify right side
    11,066,024,439x = 571,158,161,406,970,626,048
  5. Step 5: Solve for x
    x = 571,158,161,406,970,626,048/11,066,024,439
  6. Step 6: Final answer
    x = 51,613,672,512.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.