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Finding the Third Proportional to 6,909,380,705 and 14,919,741,084

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Solution

The third proportional to 6,909,380,705 and 14,919,741,084 is: 32,216,877,824.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909,380,705 : 14,919,741,084 = 14,919,741,084 : x
  2. Step 2: Convert to fraction form
    6,909,380,705/14,919,741,084 = 14,919,741,084/x
  3. Step 3: Cross multiply
    6,909,380,705x = 14,919,741,084 × 14,919,741,084
  4. Step 4: Simplify right side
    6,909,380,705x = 222,598,674,013,597,499,392
  5. Step 5: Solve for x
    x = 222,598,674,013,597,499,392/6,909,380,705
  6. Step 6: Final answer
    x = 32,216,877,824.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.