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Finding the Third Proportional to 3,442,768,482,786 and 7,534,082,052,884

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Solution

The third proportional to 3,442,768,482,786 and 7,534,082,052,884 is: 16,487,426,518,339.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442,768,482,786 : 7,534,082,052,884 = 7,534,082,052,884 : x
  2. Step 2: Convert to fraction form
    3,442,768,482,786/7,534,082,052,884 = 7,534,082,052,884/x
  3. Step 3: Cross multiply
    3,442,768,482,786x = 7,534,082,052,884 × 7,534,082,052,884
  4. Step 4: Simplify right side
    3,442,768,482,786x = 56,762,392,379,588,787,885,309,952
  5. Step 5: Solve for x
    x = 56,762,392,379,588,787,885,309,952/3,442,768,482,786
  6. Step 6: Final answer
    x = 16,487,426,518,339.34

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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.