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Finding the Third Proportional to 3,037,699,384 and 4,564,638,059

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Solution

The third proportional to 3,037,699,384 and 4,564,638,059 is: 6,859,112,102.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037,699,384 : 4,564,638,059 = 4,564,638,059 : x
  2. Step 2: Convert to fraction form
    3,037,699,384/4,564,638,059 = 4,564,638,059/x
  3. Step 3: Cross multiply
    3,037,699,384x = 4,564,638,059 × 4,564,638,059
  4. Step 4: Simplify right side
    3,037,699,384x = 20,835,920,609,671,286,784
  5. Step 5: Solve for x
    x = 20,835,920,609,671,286,784/3,037,699,384
  6. Step 6: Final answer
    x = 6,859,112,102.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.