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Finding the Third Proportional to 5,678,010,372 and 12,355,848,024

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Solution

The third proportional to 5,678,010,372 and 12,355,848,024 is: 26,887,407,804.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678,010,372 : 12,355,848,024 = 12,355,848,024 : x
  2. Step 2: Convert to fraction form
    5,678,010,372/12,355,848,024 = 12,355,848,024/x
  3. Step 3: Cross multiply
    5,678,010,372x = 12,355,848,024 × 12,355,848,024
  4. Step 4: Simplify right side
    5,678,010,372x = 152,666,980,392,184,709,120
  5. Step 5: Solve for x
    x = 152,666,980,392,184,709,120/5,678,010,372
  6. Step 6: Final answer
    x = 26,887,407,804.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.