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Finding the Third Proportional to 6,246,509 and 9,448,511

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Solution

The third proportional to 6,246,509 and 9,448,511 is: 14,291,880.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,246,509 : 9,448,511 = 9,448,511 : x
  2. Step 2: Convert to fraction form
    6,246,509/9,448,511 = 9,448,511/x
  3. Step 3: Cross multiply
    6,246,509x = 9,448,511 × 9,448,511
  4. Step 4: Simplify right side
    6,246,509x = 89,274,360,117,121
  5. Step 5: Solve for x
    x = 89,274,360,117,121/6,246,509
  6. Step 6: Final answer
    x = 14,291,880.49

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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.