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Finding the Third Proportional to 6,648,068 and 14,289,140

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Solution

The third proportional to 6,648,068 and 14,289,140 is: 30,712,610.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648,068 : 14,289,140 = 14,289,140 : x
  2. Step 2: Convert to fraction form
    6,648,068/14,289,140 = 14,289,140/x
  3. Step 3: Cross multiply
    6,648,068x = 14,289,140 × 14,289,140
  4. Step 4: Simplify right side
    6,648,068x = 204,179,521,939,600
  5. Step 5: Solve for x
    x = 204,179,521,939,600/6,648,068
  6. Step 6: Final answer
    x = 30,712,610.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.