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Finding the Third Proportional to 9,646,678 and 20,087,237

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Solution

The third proportional to 9,646,678 and 20,087,237 is: 41,827,569.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646,678 : 20,087,237 = 20,087,237 : x
  2. Step 2: Convert to fraction form
    9,646,678/20,087,237 = 20,087,237/x
  3. Step 3: Cross multiply
    9,646,678x = 20,087,237 × 20,087,237
  4. Step 4: Simplify right side
    9,646,678x = 403,497,090,294,169
  5. Step 5: Solve for x
    x = 403,497,090,294,169/9,646,678
  6. Step 6: Final answer
    x = 41,827,569.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.