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Finding the Third Proportional to 36,029,368,289.88 and 75,040,865,495

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Solution

The third proportional to 36,029,368,289.88 and 75,040,865,495 is: 156,292,817,818.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,029,368,289.88 : 75,040,865,495 = 75,040,865,495 : x
  2. Step 2: Convert to fraction form
    36,029,368,289.88/75,040,865,495 = 75,040,865,495/x
  3. Step 3: Cross multiply
    36,029,368,289.88x = 75,040,865,495 × 75,040,865,495
  4. Step 4: Simplify right side
    36,029,368,289.88x = 5,631,131,494,238,681,825,280
  5. Step 5: Solve for x
    x = 5,631,131,494,238,681,825,280/36,029,368,289.88
  6. Step 6: Final answer
    x = 156,292,817,818.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.