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Finding the Third Proportional to 315,004,832 and 493,024,224

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Solution

The third proportional to 315,004,832 and 493,024,224 is: 771,648,116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,004,832 : 493,024,224 = 493,024,224 : x
  2. Step 2: Convert to fraction form
    315,004,832/493,024,224 = 493,024,224/x
  3. Step 3: Cross multiply
    315,004,832x = 493,024,224 × 493,024,224
  4. Step 4: Simplify right side
    315,004,832x = 243,072,885,450,802,176
  5. Step 5: Solve for x
    x = 243,072,885,450,802,176/315,004,832
  6. Step 6: Final answer
    x = 771,648,116.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.