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Finding the Third Proportional to 76,653,139,888 and 166,803,948,128

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Solution

The third proportional to 76,653,139,888 and 166,803,948,128 is: 362,980,005,147.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,653,139,888 : 166,803,948,128 = 166,803,948,128 : x
  2. Step 2: Convert to fraction form
    76,653,139,888/166,803,948,128 = 166,803,948,128/x
  3. Step 3: Cross multiply
    76,653,139,888x = 166,803,948,128 × 166,803,948,128
  4. Step 4: Simplify right side
    76,653,139,888x = 27,823,557,111,088,515,383,296
  5. Step 5: Solve for x
    x = 27,823,557,111,088,515,383,296/76,653,139,888
  6. Step 6: Final answer
    x = 362,980,005,147.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.