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Finding the Third Proportional to 10,120,044 and 21,686,424

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Solution

The third proportional to 10,120,044 and 21,686,424 is: 46,472,227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,120,044 : 21,686,424 = 21,686,424 : x
  2. Step 2: Convert to fraction form
    10,120,044/21,686,424 = 21,686,424/x
  3. Step 3: Cross multiply
    10,120,044x = 21,686,424 × 21,686,424
  4. Step 4: Simplify right side
    10,120,044x = 470,300,985,907,776
  5. Step 5: Solve for x
    x = 470,300,985,907,776/10,120,044
  6. Step 6: Final answer
    x = 46,472,227.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.