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Finding the Third Proportional to 6,675,056,532 and 14,511,180,456

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Solution

The third proportional to 6,675,056,532 and 14,511,180,456 is: 31,546,453,159.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675,056,532 : 14,511,180,456 = 14,511,180,456 : x
  2. Step 2: Convert to fraction form
    6,675,056,532/14,511,180,456 = 14,511,180,456/x
  3. Step 3: Cross multiply
    6,675,056,532x = 14,511,180,456 × 14,511,180,456
  4. Step 4: Simplify right side
    6,675,056,532x = 210,574,358,226,596,364,288
  5. Step 5: Solve for x
    x = 210,574,358,226,596,364,288/6,675,056,532
  6. Step 6: Final answer
    x = 31,546,453,159.93

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.