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Finding the Third Proportional to 306,592,025.80 and 672,540,928.17

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Solution

The third proportional to 306,592,025.80 and 672,540,928.17 is: 1,475,287,228.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,592,025.80 : 672,540,928.17 = 672,540,928.17 : x
  2. Step 2: Convert to fraction form
    306,592,025.80/672,540,928.17 = 672,540,928.17/x
  3. Step 3: Cross multiply
    306,592,025.80x = 672,540,928.17 × 672,540,928.17
  4. Step 4: Simplify right side
    306,592,025.80x = 452,311,300,066,293,888
  5. Step 5: Solve for x
    x = 452,311,300,066,293,888/306,592,025.80
  6. Step 6: Final answer
    x = 1,475,287,228.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.