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Finding the Third Proportional to 2,426,009,152 and 5,239,372,032

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Solution

The third proportional to 2,426,009,152 and 5,239,372,032 is: 11,315,299,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426,009,152 : 5,239,372,032 = 5,239,372,032 : x
  2. Step 2: Convert to fraction form
    2,426,009,152/5,239,372,032 = 5,239,372,032/x
  3. Step 3: Cross multiply
    2,426,009,152x = 5,239,372,032 × 5,239,372,032
  4. Step 4: Simplify right side
    2,426,009,152x = 27,451,019,289,703,809,024
  5. Step 5: Solve for x
    x = 27,451,019,289,703,809,024/2,426,009,152
  6. Step 6: Final answer
    x = 11,315,299,147.60

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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.