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Finding the Third Proportional to 38,077,824 and 55,521,664

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Solution

The third proportional to 38,077,824 and 55,521,664 is: 80,956,705.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,077,824 : 55,521,664 = 55,521,664 : x
  2. Step 2: Convert to fraction form
    38,077,824/55,521,664 = 55,521,664/x
  3. Step 3: Cross multiply
    38,077,824x = 55,521,664 × 55,521,664
  4. Step 4: Simplify right side
    38,077,824x = 3,082,655,173,328,896
  5. Step 5: Solve for x
    x = 3,082,655,173,328,896/38,077,824
  6. Step 6: Final answer
    x = 80,956,705.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.