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Finding the Third Proportional to 1,418,849,868 and 3,315,073,655

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Solution

The third proportional to 1,418,849,868 and 3,315,073,655 is: 7,745,508,235.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418,849,868 : 3,315,073,655 = 3,315,073,655 : x
  2. Step 2: Convert to fraction form
    1,418,849,868/3,315,073,655 = 3,315,073,655/x
  3. Step 3: Cross multiply
    1,418,849,868x = 3,315,073,655 × 3,315,073,655
  4. Step 4: Simplify right side
    1,418,849,868x = 10,989,713,338,075,058,176
  5. Step 5: Solve for x
    x = 10,989,713,338,075,058,176/1,418,849,868
  6. Step 6: Final answer
    x = 7,745,508,235.88

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.