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Finding the Third Proportional to 306,592,028.16 and 672,540,932.11

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Solution

The third proportional to 306,592,028.16 and 672,540,932.11 is: 1,475,287,234.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,592,028.16 : 672,540,932.11 = 672,540,932.11 : x
  2. Step 2: Convert to fraction form
    306,592,028.16/672,540,932.11 = 672,540,932.11/x
  3. Step 3: Cross multiply
    306,592,028.16x = 672,540,932.11 × 672,540,932.11
  4. Step 4: Simplify right side
    306,592,028.16x = 452,311,305,362,580,608
  5. Step 5: Solve for x
    x = 452,311,305,362,580,608/306,592,028.16
  6. Step 6: Final answer
    x = 1,475,287,234.58

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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.