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Finding the Third Proportional to 46,791,215 and 72,738,491

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Solution

The third proportional to 46,791,215 and 72,738,491 is: 113,074,389.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,791,215 : 72,738,491 = 72,738,491 : x
  2. Step 2: Convert to fraction form
    46,791,215/72,738,491 = 72,738,491/x
  3. Step 3: Cross multiply
    46,791,215x = 72,738,491 × 72,738,491
  4. Step 4: Simplify right side
    46,791,215x = 5,290,888,072,957,081
  5. Step 5: Solve for x
    x = 5,290,888,072,957,081/46,791,215
  6. Step 6: Final answer
    x = 113,074,389.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.