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Finding the Third Proportional to 4,643,356 and 9,756,728

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Solution

The third proportional to 4,643,356 and 9,756,728 is: 20,501,064.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643,356 : 9,756,728 = 9,756,728 : x
  2. Step 2: Convert to fraction form
    4,643,356/9,756,728 = 9,756,728/x
  3. Step 3: Cross multiply
    4,643,356x = 9,756,728 × 9,756,728
  4. Step 4: Simplify right side
    4,643,356x = 95,193,741,265,984
  5. Step 5: Solve for x
    x = 95,193,741,265,984/4,643,356
  6. Step 6: Final answer
    x = 20,501,064.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.