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Finding the Third Proportional to 4,658,050 and 10,185,028

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Solution

The third proportional to 4,658,050 and 10,185,028 is: 22,270,004.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658,050 : 10,185,028 = 10,185,028 : x
  2. Step 2: Convert to fraction form
    4,658,050/10,185,028 = 10,185,028/x
  3. Step 3: Cross multiply
    4,658,050x = 10,185,028 × 10,185,028
  4. Step 4: Simplify right side
    4,658,050x = 103,734,795,360,784
  5. Step 5: Solve for x
    x = 103,734,795,360,784/4,658,050
  6. Step 6: Final answer
    x = 22,270,004.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.