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Finding the Third Proportional to 12,580,407 and 27,516,172.50

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Solution

The third proportional to 12,580,407 and 27,516,172.50 is: 60,184,042.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580,407 : 27,516,172.50 = 27,516,172.50 : x
  2. Step 2: Convert to fraction form
    12,580,407/27,516,172.50 = 27,516,172.50/x
  3. Step 3: Cross multiply
    12,580,407x = 27,516,172.50 × 27,516,172.50
  4. Step 4: Simplify right side
    12,580,407x = 757,139,749,049,756.25
  5. Step 5: Solve for x
    x = 757,139,749,049,756.25/12,580,407
  6. Step 6: Final answer
    x = 60,184,042.46

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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.