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Finding the Third Proportional to 35,954,064 and 78,634,584

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Solution

The third proportional to 35,954,064 and 78,634,584 is: 171,980,497.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,954,064 : 78,634,584 = 78,634,584 : x
  2. Step 2: Convert to fraction form
    35,954,064/78,634,584 = 78,634,584/x
  3. Step 3: Cross multiply
    35,954,064x = 78,634,584 × 78,634,584
  4. Step 4: Simplify right side
    35,954,064x = 6,183,397,800,853,056
  5. Step 5: Solve for x
    x = 6,183,397,800,853,056/35,954,064
  6. Step 6: Final answer
    x = 171,980,497.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.