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Finding the Third Proportional to 400,238,583,000 and 609,735,796,050

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Solution

The third proportional to 400,238,583,000 and 609,735,796,050 is: 928,890,308,870.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,238,583,000 : 609,735,796,050 = 609,735,796,050 : x
  2. Step 2: Convert to fraction form
    400,238,583,000/609,735,796,050 = 609,735,796,050/x
  3. Step 3: Cross multiply
    400,238,583,000x = 609,735,796,050 × 609,735,796,050
  4. Step 4: Simplify right side
    400,238,583,000x = 371,777,740,984,727,180,935,168
  5. Step 5: Solve for x
    x = 371,777,740,984,727,180,935,168/400,238,583,000
  6. Step 6: Final answer
    x = 928,890,308,870.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.