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Finding the Third Proportional to 5,182,038,024 and 11,189,810,460

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Solution

The third proportional to 5,182,038,024 and 11,189,810,460 is: 24,162,666,802.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182,038,024 : 11,189,810,460 = 11,189,810,460 : x
  2. Step 2: Convert to fraction form
    5,182,038,024/11,189,810,460 = 11,189,810,460/x
  3. Step 3: Cross multiply
    5,182,038,024x = 11,189,810,460 × 11,189,810,460
  4. Step 4: Simplify right side
    5,182,038,024x = 125,211,858,130,725,404,672
  5. Step 5: Solve for x
    x = 125,211,858,130,725,404,672/5,182,038,024
  6. Step 6: Final answer
    x = 24,162,666,802.29

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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.