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Finding the Third Proportional to 540,709,054 and 1,110,082,702

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Solution

The third proportional to 540,709,054 and 1,110,082,702 is: 2,279,014,187.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,709,054 : 1,110,082,702 = 1,110,082,702 : x
  2. Step 2: Convert to fraction form
    540,709,054/1,110,082,702 = 1,110,082,702/x
  3. Step 3: Cross multiply
    540,709,054x = 1,110,082,702 × 1,110,082,702
  4. Step 4: Simplify right side
    540,709,054x = 1,232,283,605,279,620,864
  5. Step 5: Solve for x
    x = 1,232,283,605,279,620,864/540,709,054
  6. Step 6: Final answer
    x = 2,279,014,187.32

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.