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Finding the Third Proportional to 713,738,878.50 and 1,091,122,852.50

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Solution

The third proportional to 713,738,878.50 and 1,091,122,852.50 is: 1,668,045,716.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,738,878.50 : 1,091,122,852.50 = 1,091,122,852.50 : x
  2. Step 2: Convert to fraction form
    713,738,878.50/1,091,122,852.50 = 1,091,122,852.50/x
  3. Step 3: Cross multiply
    713,738,878.50x = 1,091,122,852.50 × 1,091,122,852.50
  4. Step 4: Simplify right side
    713,738,878.50x = 1,190,549,079,247,736,832
  5. Step 5: Solve for x
    x = 1,190,549,079,247,736,832/713,738,878.50
  6. Step 6: Final answer
    x = 1,668,045,716.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.