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Finding the Third Proportional to 4,604,015.16 and 7,222,341.11

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Solution

The third proportional to 4,604,015.16 and 7,222,341.11 is: 11,329,721.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604,015.16 : 7,222,341.11 = 7,222,341.11 : x
  2. Step 2: Convert to fraction form
    4,604,015.16/7,222,341.11 = 7,222,341.11/x
  3. Step 3: Cross multiply
    4,604,015.16x = 7,222,341.11 × 7,222,341.11
  4. Step 4: Simplify right side
    4,604,015.16x = 52,162,211,128,378.57
  5. Step 5: Solve for x
    x = 52,162,211,128,378.57/4,604,015.16
  6. Step 6: Final answer
    x = 11,329,721.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.