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Finding the Third Proportional to 297,961,611.75 and 641,461,045.50

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Solution

The third proportional to 297,961,611.75 and 641,461,045.50 is: 1,380,957,333.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,961,611.75 : 641,461,045.50 = 641,461,045.50 : x
  2. Step 2: Convert to fraction form
    297,961,611.75/641,461,045.50 = 641,461,045.50/x
  3. Step 3: Cross multiply
    297,961,611.75x = 641,461,045.50 × 641,461,045.50
  4. Step 4: Simplify right side
    297,961,611.75x = 411,472,272,893,953,088
  5. Step 5: Solve for x
    x = 411,472,272,893,953,088/297,961,611.75
  6. Step 6: Final answer
    x = 1,380,957,333.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.