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Finding the Third Proportional to 10,838,564.50 and 25,290,857.50

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Solution

The third proportional to 10,838,564.50 and 25,290,857.50 is: 59,014,039.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838,564.50 : 25,290,857.50 = 25,290,857.50 : x
  2. Step 2: Convert to fraction form
    10,838,564.50/25,290,857.50 = 25,290,857.50/x
  3. Step 3: Cross multiply
    10,838,564.50x = 25,290,857.50 × 25,290,857.50
  4. Step 4: Simplify right side
    10,838,564.50x = 639,627,473,085,306.25
  5. Step 5: Solve for x
    x = 639,627,473,085,306.25/10,838,564.50
  6. Step 6: Final answer
    x = 59,014,039.46

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.