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Finding the Third Proportional to 10,174,014 and 22,115,106

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Solution

The third proportional to 10,174,014 and 22,115,106 is: 48,071,283.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174,014 : 22,115,106 = 22,115,106 : x
  2. Step 2: Convert to fraction form
    10,174,014/22,115,106 = 22,115,106/x
  3. Step 3: Cross multiply
    10,174,014x = 22,115,106 × 22,115,106
  4. Step 4: Simplify right side
    10,174,014x = 489,077,913,391,236
  5. Step 5: Solve for x
    x = 489,077,913,391,236/10,174,014
  6. Step 6: Final answer
    x = 48,071,283.70

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