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Finding the Third Proportional to 2,877,099 and 6,296,026.50

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Solution

The third proportional to 2,877,099 and 6,296,026.50 is: 13,777,749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877,099 : 6,296,026.50 = 6,296,026.50 : x
  2. Step 2: Convert to fraction form
    2,877,099/6,296,026.50 = 6,296,026.50/x
  3. Step 3: Cross multiply
    2,877,099x = 6,296,026.50 × 6,296,026.50
  4. Step 4: Simplify right side
    2,877,099x = 39,639,949,688,702.25
  5. Step 5: Solve for x
    x = 39,639,949,688,702.25/2,877,099
  6. Step 6: Final answer
    x = 13,777,749.63

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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.