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Finding the Third Proportional to 294,272,004.94 and 630,794,183.63

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Solution

The third proportional to 294,272,004.94 and 630,794,183.63 is: 1,352,154,793.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,272,004.94 : 630,794,183.63 = 630,794,183.63 : x
  2. Step 2: Convert to fraction form
    294,272,004.94/630,794,183.63 = 630,794,183.63/x
  3. Step 3: Cross multiply
    294,272,004.94x = 630,794,183.63 × 630,794,183.63
  4. Step 4: Simplify right side
    294,272,004.94x = 397,901,302,095,130,240
  5. Step 5: Solve for x
    x = 397,901,302,095,130,240/294,272,004.94
  6. Step 6: Final answer
    x = 1,352,154,793.59

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.