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Finding the Third Proportional to 9,646,821 and 20,087,487

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Solution

The third proportional to 9,646,821 and 20,087,487 is: 41,827,990.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646,821 : 20,087,487 = 20,087,487 : x
  2. Step 2: Convert to fraction form
    9,646,821/20,087,487 = 20,087,487/x
  3. Step 3: Cross multiply
    9,646,821x = 20,087,487 × 20,087,487
  4. Step 4: Simplify right side
    9,646,821x = 403,507,133,975,169
  5. Step 5: Solve for x
    x = 403,507,133,975,169/9,646,821
  6. Step 6: Final answer
    x = 41,827,990.17

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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.