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Finding the Third Proportional to 6,174,509,840.25 and 8,330,863,445.25

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Solution

The third proportional to 6,174,509,840.25 and 8,330,863,445.25 is: 11,240,290,733.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174,509,840.25 : 8,330,863,445.25 = 8,330,863,445.25 : x
  2. Step 2: Convert to fraction form
    6,174,509,840.25/8,330,863,445.25 = 8,330,863,445.25/x
  3. Step 3: Cross multiply
    6,174,509,840.25x = 8,330,863,445.25 × 8,330,863,445.25
  4. Step 4: Simplify right side
    6,174,509,840.25x = 69,403,285,743,402,696,704
  5. Step 5: Solve for x
    x = 69,403,285,743,402,696,704/6,174,509,840.25
  6. Step 6: Final answer
    x = 11,240,290,733.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.