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Finding the Third Proportional to 540,709,075 and 1,110,082,743

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Solution

The third proportional to 540,709,075 and 1,110,082,743 is: 2,279,014,267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,709,075 : 1,110,082,743 = 1,110,082,743 : x
  2. Step 2: Convert to fraction form
    540,709,075/1,110,082,743 = 1,110,082,743/x
  3. Step 3: Cross multiply
    540,709,075x = 1,110,082,743 × 1,110,082,743
  4. Step 4: Simplify right side
    540,709,075x = 1,232,283,696,306,404,096
  5. Step 5: Solve for x
    x = 1,232,283,696,306,404,096/540,709,075
  6. Step 6: Final answer
    x = 2,279,014,267.16

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Why These Related Problems?

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