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Finding the Third Proportional to 6,029,516 and 13,143,140

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Solution

The third proportional to 6,029,516 and 13,143,140 is: 28,649,418.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029,516 : 13,143,140 = 13,143,140 : x
  2. Step 2: Convert to fraction form
    6,029,516/13,143,140 = 13,143,140/x
  3. Step 3: Cross multiply
    6,029,516x = 13,143,140 × 13,143,140
  4. Step 4: Simplify right side
    6,029,516x = 172,742,129,059,600
  5. Step 5: Solve for x
    x = 172,742,129,059,600/6,029,516
  6. Step 6: Final answer
    x = 28,649,418.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.