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Finding the Third Proportional to 1,359,255,315 and 2,097,083,584.50

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Solution

The third proportional to 1,359,255,315 and 2,097,083,584.50 is: 3,235,418,329.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359,255,315 : 2,097,083,584.50 = 2,097,083,584.50 : x
  2. Step 2: Convert to fraction form
    1,359,255,315/2,097,083,584.50 = 2,097,083,584.50/x
  3. Step 3: Cross multiply
    1,359,255,315x = 2,097,083,584.50 × 2,097,083,584.50
  4. Step 4: Simplify right side
    1,359,255,315x = 4,397,759,560,379,368,448
  5. Step 5: Solve for x
    x = 4,397,759,560,379,368,448/1,359,255,315
  6. Step 6: Final answer
    x = 3,235,418,329.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.