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Finding the Third Proportional to 6,137,296.50 and 9,205,943.63

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Solution

The third proportional to 6,137,296.50 and 9,205,943.63 is: 13,808,913.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137,296.50 : 9,205,943.63 = 9,205,943.63 : x
  2. Step 2: Convert to fraction form
    6,137,296.50/9,205,943.63 = 9,205,943.63/x
  3. Step 3: Cross multiply
    6,137,296.50x = 9,205,943.63 × 9,205,943.63
  4. Step 4: Simplify right side
    6,137,296.50x = 84,749,398,026,678.14
  5. Step 5: Solve for x
    x = 84,749,398,026,678.14/6,137,296.50
  6. Step 6: Final answer
    x = 13,808,913.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.