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Finding the Third Proportional to 4,544,823.38 and 7,235,210.25

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Solution

The third proportional to 4,544,823.38 and 7,235,210.25 is: 11,518,218.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,544,823.38 : 7,235,210.25 = 7,235,210.25 : x
  2. Step 2: Convert to fraction form
    4,544,823.38/7,235,210.25 = 7,235,210.25/x
  3. Step 3: Cross multiply
    4,544,823.38x = 7,235,210.25 × 7,235,210.25
  4. Step 4: Simplify right side
    4,544,823.38x = 52,348,267,361,705.06
  5. Step 5: Solve for x
    x = 52,348,267,361,705.06/4,544,823.38
  6. Step 6: Final answer
    x = 11,518,218.21

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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.