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Finding the Third Proportional to 294,272,676 and 630,795,762

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Solution

The third proportional to 294,272,676 and 630,795,762 is: 1,352,158,476.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,272,676 : 630,795,762 = 630,795,762 : x
  2. Step 2: Convert to fraction form
    294,272,676/630,795,762 = 630,795,762/x
  3. Step 3: Cross multiply
    294,272,676x = 630,795,762 × 630,795,762
  4. Step 4: Simplify right side
    294,272,676x = 397,903,293,357,160,640
  5. Step 5: Solve for x
    x = 397,903,293,357,160,640/294,272,676
  6. Step 6: Final answer
    x = 1,352,158,476.84

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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.