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Finding the Third Proportional to 481,209,871 and 1,031,483,075

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Solution

The third proportional to 481,209,871 and 1,031,483,075 is: 2,211,004,798.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,209,871 : 1,031,483,075 = 1,031,483,075 : x
  2. Step 2: Convert to fraction form
    481,209,871/1,031,483,075 = 1,031,483,075/x
  3. Step 3: Cross multiply
    481,209,871x = 1,031,483,075 × 1,031,483,075
  4. Step 4: Simplify right side
    481,209,871x = 1,063,957,334,011,455,616
  5. Step 5: Solve for x
    x = 1,063,957,334,011,455,616/481,209,871
  6. Step 6: Final answer
    x = 2,211,004,798.80

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.