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Finding the Third Proportional to 411,060,840.28 and 970,030,014.42

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Solution

The third proportional to 411,060,840.28 and 970,030,014.42 is: 2,289,097,225.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,060,840.28 : 970,030,014.42 = 970,030,014.42 : x
  2. Step 2: Convert to fraction form
    411,060,840.28/970,030,014.42 = 970,030,014.42/x
  3. Step 3: Cross multiply
    411,060,840.28x = 970,030,014.42 × 970,030,014.42
  4. Step 4: Simplify right side
    411,060,840.28x = 940,958,228,879,351,552
  5. Step 5: Solve for x
    x = 940,958,228,879,351,552/411,060,840.28
  6. Step 6: Final answer
    x = 2,289,097,225.21

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.