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Finding the Third Proportional to 779,151,408,024 and 1,675,562,423,700

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Solution

The third proportional to 779,151,408,024 and 1,675,562,423,700 is: 3,603,291,230,436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,151,408,024 : 1,675,562,423,700 = 1,675,562,423,700 : x
  2. Step 2: Convert to fraction form
    779,151,408,024/1,675,562,423,700 = 1,675,562,423,700/x
  3. Step 3: Cross multiply
    779,151,408,024x = 1,675,562,423,700 × 1,675,562,423,700
  4. Step 4: Simplify right side
    779,151,408,024x = 2,807,509,435,715,418,146,734,080
  5. Step 5: Solve for x
    x = 2,807,509,435,715,418,146,734,080/779,151,408,024
  6. Step 6: Final answer
    x = 3,603,291,230,436.87

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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.