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Finding the Third Proportional to 9,628,683 and 21,146,646

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Solution

The third proportional to 9,628,683 and 21,146,646 is: 46,442,554.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628,683 : 21,146,646 = 21,146,646 : x
  2. Step 2: Convert to fraction form
    9,628,683/21,146,646 = 21,146,646/x
  3. Step 3: Cross multiply
    9,628,683x = 21,146,646 × 21,146,646
  4. Step 4: Simplify right side
    9,628,683x = 447,180,637,049,316
  5. Step 5: Solve for x
    x = 447,180,637,049,316/9,628,683
  6. Step 6: Final answer
    x = 46,442,554.71

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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.