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Finding the Third Proportional to 23,829,912 and 51,438,312

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Solution

The third proportional to 23,829,912 and 51,438,312 is: 111,032,719.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,829,912 : 51,438,312 = 51,438,312 : x
  2. Step 2: Convert to fraction form
    23,829,912/51,438,312 = 51,438,312/x
  3. Step 3: Cross multiply
    23,829,912x = 51,438,312 × 51,438,312
  4. Step 4: Simplify right side
    23,829,912x = 2,645,899,941,409,344
  5. Step 5: Solve for x
    x = 2,645,899,941,409,344/23,829,912
  6. Step 6: Final answer
    x = 111,032,719.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.