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Finding the Third Proportional to 10,302,201 and 22,375,791

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Solution

The third proportional to 10,302,201 and 22,375,791 is: 48,598,937.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302,201 : 22,375,791 = 22,375,791 : x
  2. Step 2: Convert to fraction form
    10,302,201/22,375,791 = 22,375,791/x
  3. Step 3: Cross multiply
    10,302,201x = 22,375,791 × 22,375,791
  4. Step 4: Simplify right side
    10,302,201x = 500,676,022,875,681
  5. Step 5: Solve for x
    x = 500,676,022,875,681/10,302,201
  6. Step 6: Final answer
    x = 48,598,937.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.