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Finding the Third Proportional to 11,405,142 and 23,618,664

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Solution

The third proportional to 11,405,142 and 23,618,664 is: 48,911,384.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405,142 : 23,618,664 = 23,618,664 : x
  2. Step 2: Convert to fraction form
    11,405,142/23,618,664 = 23,618,664/x
  3. Step 3: Cross multiply
    11,405,142x = 23,618,664 × 23,618,664
  4. Step 4: Simplify right side
    11,405,142x = 557,841,289,144,896
  5. Step 5: Solve for x
    x = 557,841,289,144,896/11,405,142
  6. Step 6: Final answer
    x = 48,911,384.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.