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Finding the Third Proportional to 3,442,768,482,788 and 7,534,082,052,888

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Solution

The third proportional to 3,442,768,482,788 and 7,534,082,052,888 is: 16,487,426,518,347.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442,768,482,788 : 7,534,082,052,888 = 7,534,082,052,888 : x
  2. Step 2: Convert to fraction form
    3,442,768,482,788/7,534,082,052,888 = 7,534,082,052,888/x
  3. Step 3: Cross multiply
    3,442,768,482,788x = 7,534,082,052,888 × 7,534,082,052,888
  4. Step 4: Simplify right side
    3,442,768,482,788x = 56,762,392,379,649,063,456,342,016
  5. Step 5: Solve for x
    x = 56,762,392,379,649,063,456,342,016/3,442,768,482,788
  6. Step 6: Final answer
    x = 16,487,426,518,347.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.