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Finding the Third Proportional to 76,927,339,226 and 167,097,286,796

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Solution

The third proportional to 76,927,339,226 and 167,097,286,796 is: 362,959,430,750.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,927,339,226 : 167,097,286,796 = 167,097,286,796 : x
  2. Step 2: Convert to fraction form
    76,927,339,226/167,097,286,796 = 167,097,286,796/x
  3. Step 3: Cross multiply
    76,927,339,226x = 167,097,286,796 × 167,097,286,796
  4. Step 4: Simplify right side
    76,927,339,226x = 27,921,503,254,584,674,484,224
  5. Step 5: Solve for x
    x = 27,921,503,254,584,674,484,224/76,927,339,226
  6. Step 6: Final answer
    x = 362,959,430,750.05

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Why These Related Problems?

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