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Finding the Third Proportional to 1,010,563,865 and 2,199,075,504

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Solution

The third proportional to 1,010,563,865 and 2,199,075,504 is: 4,785,380,953.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,563,865 : 2,199,075,504 = 2,199,075,504 : x
  2. Step 2: Convert to fraction form
    1,010,563,865/2,199,075,504 = 2,199,075,504/x
  3. Step 3: Cross multiply
    1,010,563,865x = 2,199,075,504 × 2,199,075,504
  4. Step 4: Simplify right side
    1,010,563,865x = 4,835,933,072,292,853,760
  5. Step 5: Solve for x
    x = 4,835,933,072,292,853,760/1,010,563,865
  6. Step 6: Final answer
    x = 4,785,380,953.92

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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.