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Finding the Third Proportional to 3,442,768,482,784 and 7,534,082,052,880

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Solution

The third proportional to 3,442,768,482,784 and 7,534,082,052,880 is: 16,487,426,518,331.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442,768,482,784 : 7,534,082,052,880 = 7,534,082,052,880 : x
  2. Step 2: Convert to fraction form
    3,442,768,482,784/7,534,082,052,880 = 7,534,082,052,880/x
  3. Step 3: Cross multiply
    3,442,768,482,784x = 7,534,082,052,880 × 7,534,082,052,880
  4. Step 4: Simplify right side
    3,442,768,482,784x = 56,762,392,379,528,512,314,277,888
  5. Step 5: Solve for x
    x = 56,762,392,379,528,512,314,277,888/3,442,768,482,784
  6. Step 6: Final answer
    x = 16,487,426,518,331.41

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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.