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Finding the Third Proportional to 10,174,044 and 22,115,160

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Solution

The third proportional to 10,174,044 and 22,115,160 is: 48,071,376.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174,044 : 22,115,160 = 22,115,160 : x
  2. Step 2: Convert to fraction form
    10,174,044/22,115,160 = 22,115,160/x
  3. Step 3: Cross multiply
    10,174,044x = 22,115,160 × 22,115,160
  4. Step 4: Simplify right side
    10,174,044x = 489,080,301,825,600
  5. Step 5: Solve for x
    x = 489,080,301,825,600/10,174,044
  6. Step 6: Final answer
    x = 48,071,376.71

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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.