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Finding the Third Proportional to 16,570,184,796 and 36,348,442,704

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Solution

The third proportional to 16,570,184,796 and 36,348,442,704 is: 79,734,131,107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,570,184,796 : 36,348,442,704 = 36,348,442,704 : x
  2. Step 2: Convert to fraction form
    16,570,184,796/36,348,442,704 = 36,348,442,704/x
  3. Step 3: Cross multiply
    16,570,184,796x = 36,348,442,704 × 36,348,442,704
  4. Step 4: Simplify right side
    16,570,184,796x = 1,321,209,287,005,970,890,752
  5. Step 5: Solve for x
    x = 1,321,209,287,005,970,890,752/16,570,184,796
  6. Step 6: Final answer
    x = 79,734,131,107.87

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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.