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Finding the Third Proportional to 6,623,157 and 9,716,643

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Solution

The third proportional to 6,623,157 and 9,716,643 is: 14,255,007.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,623,157 : 9,716,643 = 9,716,643 : x
  2. Step 2: Convert to fraction form
    6,623,157/9,716,643 = 9,716,643/x
  3. Step 3: Cross multiply
    6,623,157x = 9,716,643 × 9,716,643
  4. Step 4: Simplify right side
    6,623,157x = 94,413,151,189,449
  5. Step 5: Solve for x
    x = 94,413,151,189,449/6,623,157
  6. Step 6: Final answer
    x = 14,255,007.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.