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Finding the Third Proportional to 5,357,684,034 and 8,329,408,164

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Solution

The third proportional to 5,357,684,034 and 8,329,408,164 is: 12,949,446,052.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357,684,034 : 8,329,408,164 = 8,329,408,164 : x
  2. Step 2: Convert to fraction form
    5,357,684,034/8,329,408,164 = 8,329,408,164/x
  3. Step 3: Cross multiply
    5,357,684,034x = 8,329,408,164 × 8,329,408,164
  4. Step 4: Simplify right side
    5,357,684,034x = 69,379,040,362,509,852,672
  5. Step 5: Solve for x
    x = 69,379,040,362,509,852,672/5,357,684,034
  6. Step 6: Final answer
    x = 12,949,446,052.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.