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Finding the Third Proportional to 35,984,832 and 78,358,944

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Solution

The third proportional to 35,984,832 and 78,358,944 is: 170,630,895.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,984,832 : 78,358,944 = 78,358,944 : x
  2. Step 2: Convert to fraction form
    35,984,832/78,358,944 = 78,358,944/x
  3. Step 3: Cross multiply
    35,984,832x = 78,358,944 × 78,358,944
  4. Step 4: Simplify right side
    35,984,832x = 6,140,124,104,795,136
  5. Step 5: Solve for x
    x = 6,140,124,104,795,136/35,984,832
  6. Step 6: Final answer
    x = 170,630,895.39

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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.