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Finding the Third Proportional to 2,300,327,430 and 5,038,530,168

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Solution

The third proportional to 2,300,327,430 and 5,038,530,168 is: 11,036,162,036.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300,327,430 : 5,038,530,168 = 5,038,530,168 : x
  2. Step 2: Convert to fraction form
    2,300,327,430/5,038,530,168 = 5,038,530,168/x
  3. Step 3: Cross multiply
    2,300,327,430x = 5,038,530,168 × 5,038,530,168
  4. Step 4: Simplify right side
    2,300,327,430x = 25,386,786,253,846,110,208
  5. Step 5: Solve for x
    x = 25,386,786,253,846,110,208/2,300,327,430
  6. Step 6: Final answer
    x = 11,036,162,036.22

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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.