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Finding the Third Proportional to 65,240,064 and 103,645,824

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Solution

The third proportional to 65,240,064 and 103,645,824 is: 164,660,427.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,240,064 : 103,645,824 = 103,645,824 : x
  2. Step 2: Convert to fraction form
    65,240,064/103,645,824 = 103,645,824/x
  3. Step 3: Cross multiply
    65,240,064x = 103,645,824 × 103,645,824
  4. Step 4: Simplify right side
    65,240,064x = 10,742,456,832,638,976
  5. Step 5: Solve for x
    x = 10,742,456,832,638,976/65,240,064
  6. Step 6: Final answer
    x = 164,660,427.57

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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.