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Finding the Third Proportional to 830,414,632.50 and 1,168,080,993

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Solution

The third proportional to 830,414,632.50 and 1,168,080,993 is: 1,643,050,535.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,414,632.50 : 1,168,080,993 = 1,168,080,993 : x
  2. Step 2: Convert to fraction form
    830,414,632.50/1,168,080,993 = 1,168,080,993/x
  3. Step 3: Cross multiply
    830,414,632.50x = 1,168,080,993 × 1,168,080,993
  4. Step 4: Simplify right side
    830,414,632.50x = 1,364,413,206,207,866,112
  5. Step 5: Solve for x
    x = 1,364,413,206,207,866,112/830,414,632.50
  6. Step 6: Final answer
    x = 1,643,050,535.01

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.