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Finding the Third Proportional to 29,738,313 and 46,303,650

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Solution

The third proportional to 29,738,313 and 46,303,650 is: 72,096,490.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,738,313 : 46,303,650 = 46,303,650 : x
  2. Step 2: Convert to fraction form
    29,738,313/46,303,650 = 46,303,650/x
  3. Step 3: Cross multiply
    29,738,313x = 46,303,650 × 46,303,650
  4. Step 4: Simplify right side
    29,738,313x = 2,144,028,003,322,500
  5. Step 5: Solve for x
    x = 2,144,028,003,322,500/29,738,313
  6. Step 6: Final answer
    x = 72,096,490.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.