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Finding the Third Proportional to 647,903,167.50 and 1,043,337,576

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Solution

The third proportional to 647,903,167.50 and 1,043,337,576 is: 1,680,117,264.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,903,167.50 : 1,043,337,576 = 1,043,337,576 : x
  2. Step 2: Convert to fraction form
    647,903,167.50/1,043,337,576 = 1,043,337,576/x
  3. Step 3: Cross multiply
    647,903,167.50x = 1,043,337,576 × 1,043,337,576
  4. Step 4: Simplify right side
    647,903,167.50x = 1,088,553,297,493,555,712
  5. Step 5: Solve for x
    x = 1,088,553,297,493,555,712/647,903,167.50
  6. Step 6: Final answer
    x = 1,680,117,264.58

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.