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Finding the Third Proportional to 294,658,452 and 641,630,632.50

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Solution

The third proportional to 294,658,452 and 641,630,632.50 is: 1,397,176,513.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,658,452 : 641,630,632.50 = 641,630,632.50 : x
  2. Step 2: Convert to fraction form
    294,658,452/641,630,632.50 = 641,630,632.50/x
  3. Step 3: Cross multiply
    294,658,452x = 641,630,632.50 × 641,630,632.50
  4. Step 4: Simplify right side
    294,658,452x = 411,689,868,562,350,080
  5. Step 5: Solve for x
    x = 411,689,868,562,350,080/294,658,452
  6. Step 6: Final answer
    x = 1,397,176,513.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.