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Finding the Third Proportional to 11,740,270 and 25,564,784.50

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Solution

The third proportional to 11,740,270 and 25,564,784.50 is: 55,668,072.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,740,270 : 25,564,784.50 = 25,564,784.50 : x
  2. Step 2: Convert to fraction form
    11,740,270/25,564,784.50 = 25,564,784.50/x
  3. Step 3: Cross multiply
    11,740,270x = 25,564,784.50 × 25,564,784.50
  4. Step 4: Simplify right side
    11,740,270x = 653,558,206,531,440.25
  5. Step 5: Solve for x
    x = 653,558,206,531,440.25/11,740,270
  6. Step 6: Final answer
    x = 55,668,072.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.