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Finding the Third Proportional to 65,035,371 and 93,478,647

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Solution

The third proportional to 65,035,371 and 93,478,647 is: 134,361,614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,035,371 : 93,478,647 = 93,478,647 : x
  2. Step 2: Convert to fraction form
    65,035,371/93,478,647 = 93,478,647/x
  3. Step 3: Cross multiply
    65,035,371x = 93,478,647 × 93,478,647
  4. Step 4: Simplify right side
    65,035,371x = 8,738,257,444,950,609
  5. Step 5: Solve for x
    x = 8,738,257,444,950,609/65,035,371
  6. Step 6: Final answer
    x = 134,361,614.47

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.