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Finding the Third Proportional to 1,347,418,482 and 2,932,100,664

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Solution

The third proportional to 1,347,418,482 and 2,932,100,664 is: 6,380,507,925.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347,418,482 : 2,932,100,664 = 2,932,100,664 : x
  2. Step 2: Convert to fraction form
    1,347,418,482/2,932,100,664 = 2,932,100,664/x
  3. Step 3: Cross multiply
    1,347,418,482x = 2,932,100,664 × 2,932,100,664
  4. Step 4: Simplify right side
    1,347,418,482x = 8,597,214,303,829,240,832
  5. Step 5: Solve for x
    x = 8,597,214,303,829,240,832/1,347,418,482
  6. Step 6: Final answer
    x = 6,380,507,925.84

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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.