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Finding the Third Proportional to 7,771,500,352.13 and 11,937,975,129

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Solution

The third proportional to 7,771,500,352.13 and 11,937,975,129 is: 18,338,190,017.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771,500,352.13 : 11,937,975,129 = 11,937,975,129 : x
  2. Step 2: Convert to fraction form
    7,771,500,352.13/11,937,975,129 = 11,937,975,129/x
  3. Step 3: Cross multiply
    7,771,500,352.13x = 11,937,975,129 × 11,937,975,129
  4. Step 4: Simplify right side
    7,771,500,352.13x = 142,515,250,180,622,565,376
  5. Step 5: Solve for x
    x = 142,515,250,180,622,565,376/7,771,500,352.13
  6. Step 6: Final answer
    x = 18,338,190,017.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.