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Finding the Third Proportional to 22,733,240 and 48,709,072

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Solution

The third proportional to 22,733,240 and 48,709,072 is: 104,365,840.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,733,240 : 48,709,072 = 48,709,072 : x
  2. Step 2: Convert to fraction form
    22,733,240/48,709,072 = 48,709,072/x
  3. Step 3: Cross multiply
    22,733,240x = 48,709,072 × 48,709,072
  4. Step 4: Simplify right side
    22,733,240x = 2,372,573,695,101,184
  5. Step 5: Solve for x
    x = 2,372,573,695,101,184/22,733,240
  6. Step 6: Final answer
    x = 104,365,840.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.