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Finding the Third Proportional to 74,801,127,216 and 164,562,297,792

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Solution

The third proportional to 74,801,127,216 and 164,562,297,792 is: 362,036,654,559.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,801,127,216 : 164,562,297,792 = 164,562,297,792 : x
  2. Step 2: Convert to fraction form
    74,801,127,216/164,562,297,792 = 164,562,297,792/x
  3. Step 3: Cross multiply
    74,801,127,216x = 164,562,297,792 × 164,562,297,792
  4. Step 4: Simplify right side
    74,801,127,216x = 27,080,749,854,582,886,105,088
  5. Step 5: Solve for x
    x = 27,080,749,854,582,886,105,088/74,801,127,216
  6. Step 6: Final answer
    x = 362,036,654,559.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.