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Finding the Third Proportional to 3,442,768,482,790 and 7,534,082,052,892

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Solution

The third proportional to 3,442,768,482,790 and 7,534,082,052,892 is: 16,487,426,518,355.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442,768,482,790 : 7,534,082,052,892 = 7,534,082,052,892 : x
  2. Step 2: Convert to fraction form
    3,442,768,482,790/7,534,082,052,892 = 7,534,082,052,892/x
  3. Step 3: Cross multiply
    3,442,768,482,790x = 7,534,082,052,892 × 7,534,082,052,892
  4. Step 4: Simplify right side
    3,442,768,482,790x = 56,762,392,379,709,330,437,439,488
  5. Step 5: Solve for x
    x = 56,762,392,379,709,330,437,439,488/3,442,768,482,790
  6. Step 6: Final answer
    x = 16,487,426,518,355.20

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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.