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Finding the Third Proportional to 23,703,211,698 and 34,247,047,607.50

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Solution

The third proportional to 23,703,211,698 and 34,247,047,607.50 is: 49,481,069,686.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,703,211,698 : 34,247,047,607.50 = 34,247,047,607.50 : x
  2. Step 2: Convert to fraction form
    23,703,211,698/34,247,047,607.50 = 34,247,047,607.50/x
  3. Step 3: Cross multiply
    23,703,211,698x = 34,247,047,607.50 × 34,247,047,607.50
  4. Step 4: Simplify right side
    23,703,211,698x = 1,172,860,269,830,371,409,920
  5. Step 5: Solve for x
    x = 1,172,860,269,830,371,409,920/23,703,211,698
  6. Step 6: Final answer
    x = 49,481,069,686.83

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.