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Finding the Third Proportional to 5,859,214 and 9,323,564.25

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Solution

The third proportional to 5,859,214 and 9,323,564.25 is: 14,836,264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859,214 : 9,323,564.25 = 9,323,564.25 : x
  2. Step 2: Convert to fraction form
    5,859,214/9,323,564.25 = 9,323,564.25/x
  3. Step 3: Cross multiply
    5,859,214x = 9,323,564.25 × 9,323,564.25
  4. Step 4: Simplify right side
    5,859,214x = 86,928,850,323,878.06
  5. Step 5: Solve for x
    x = 86,928,850,323,878.06/5,859,214
  6. Step 6: Final answer
    x = 14,836,264.78

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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.