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Finding the Third Proportional to 6,012,078.19 and 9,069,511.78

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Solution

The third proportional to 6,012,078.19 and 9,069,511.78 is: 13,681,798.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,012,078.19 : 9,069,511.78 = 9,069,511.78 : x
  2. Step 2: Convert to fraction form
    6,012,078.19/9,069,511.78 = 9,069,511.78/x
  3. Step 3: Cross multiply
    6,012,078.19x = 9,069,511.78 × 9,069,511.78
  4. Step 4: Simplify right side
    6,012,078.19x = 82,256,043,950,232.55
  5. Step 5: Solve for x
    x = 82,256,043,950,232.55/6,012,078.19
  6. Step 6: Final answer
    x = 13,681,798.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.