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Finding the Third Proportional to 24,874,725 and 53,823,817.50

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Solution

The third proportional to 24,874,725 and 53,823,817.50 is: 116,463,732.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,874,725 : 53,823,817.50 = 53,823,817.50 : x
  2. Step 2: Convert to fraction form
    24,874,725/53,823,817.50 = 53,823,817.50/x
  3. Step 3: Cross multiply
    24,874,725x = 53,823,817.50 × 53,823,817.50
  4. Step 4: Simplify right side
    24,874,725x = 2,897,003,330,273,306
  5. Step 5: Solve for x
    x = 2,897,003,330,273,306/24,874,725
  6. Step 6: Final answer
    x = 116,463,732.98

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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.