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Finding the Third Proportional to 9,628,685 and 21,146,650

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Solution

The third proportional to 9,628,685 and 21,146,650 is: 46,442,562.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628,685 : 21,146,650 = 21,146,650 : x
  2. Step 2: Convert to fraction form
    9,628,685/21,146,650 = 21,146,650/x
  3. Step 3: Cross multiply
    9,628,685x = 21,146,650 × 21,146,650
  4. Step 4: Simplify right side
    9,628,685x = 447,180,806,222,500
  5. Step 5: Solve for x
    x = 447,180,806,222,500/9,628,685
  6. Step 6: Final answer
    x = 46,442,562.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.