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Finding the Third Proportional to 64,453,420 and 102,227,128

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Solution

The third proportional to 64,453,420 and 102,227,128 is: 162,138,575.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,453,420 : 102,227,128 = 102,227,128 : x
  2. Step 2: Convert to fraction form
    64,453,420/102,227,128 = 102,227,128/x
  3. Step 3: Cross multiply
    64,453,420x = 102,227,128 × 102,227,128
  4. Step 4: Simplify right side
    64,453,420x = 10,450,385,699,128,384
  5. Step 5: Solve for x
    x = 10,450,385,699,128,384/64,453,420
  6. Step 6: Final answer
    x = 162,138,575.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.