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Finding the Third Proportional to 3,077,237.63 and 7,123,248.05

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Solution

The third proportional to 3,077,237.63 and 7,123,248.05 is: 16,489,029.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077,237.63 : 7,123,248.05 = 7,123,248.05 : x
  2. Step 2: Convert to fraction form
    3,077,237.63/7,123,248.05 = 7,123,248.05/x
  3. Step 3: Cross multiply
    3,077,237.63x = 7,123,248.05 × 7,123,248.05
  4. Step 4: Simplify right side
    3,077,237.63x = 50,740,662,737,308.50
  5. Step 5: Solve for x
    x = 50,740,662,737,308.50/3,077,237.63
  6. Step 6: Final answer
    x = 16,489,029.75

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.