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Finding the Third Proportional to 24,740,950.50 and 51,179,013

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Solution

The third proportional to 24,740,950.50 and 51,179,013 is: 105,868,663.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,740,950.50 : 51,179,013 = 51,179,013 : x
  2. Step 2: Convert to fraction form
    24,740,950.50/51,179,013 = 51,179,013/x
  3. Step 3: Cross multiply
    24,740,950.50x = 51,179,013 × 51,179,013
  4. Step 4: Simplify right side
    24,740,950.50x = 2,619,291,371,654,169
  5. Step 5: Solve for x
    x = 2,619,291,371,654,169/24,740,950.50
  6. Step 6: Final answer
    x = 105,868,663.84

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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.