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Finding the Third Proportional to 45,349,632 and 68,864,256

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Solution

The third proportional to 45,349,632 and 68,864,256 is: 104,571,648

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,349,632 : 68,864,256 = 68,864,256 : x
  2. Step 2: Convert to fraction form
    45,349,632/68,864,256 = 68,864,256/x
  3. Step 3: Cross multiply
    45,349,632x = 68,864,256 × 68,864,256
  4. Step 4: Simplify right side
    45,349,632x = 4,742,285,754,433,536
  5. Step 5: Solve for x
    x = 4,742,285,754,433,536/45,349,632
  6. Step 6: Final answer
    x = 104,571,648

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.