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Finding the Third Proportional to 25,884,213 and 41,206,828.50

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Solution

The third proportional to 25,884,213 and 41,206,828.50 is: 65,599,935.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,884,213 : 41,206,828.50 = 41,206,828.50 : x
  2. Step 2: Convert to fraction form
    25,884,213/41,206,828.50 = 41,206,828.50/x
  3. Step 3: Cross multiply
    25,884,213x = 41,206,828.50 × 41,206,828.50
  4. Step 4: Simplify right side
    25,884,213x = 1,698,002,715,028,412.25
  5. Step 5: Solve for x
    x = 1,698,002,715,028,412.25/25,884,213
  6. Step 6: Final answer
    x = 65,599,935.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.