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Finding the Third Proportional to 4,662,780 and 10,034,142

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Solution

The third proportional to 4,662,780 and 10,034,142 is: 21,593,128.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662,780 : 10,034,142 = 10,034,142 : x
  2. Step 2: Convert to fraction form
    4,662,780/10,034,142 = 10,034,142/x
  3. Step 3: Cross multiply
    4,662,780x = 10,034,142 × 10,034,142
  4. Step 4: Simplify right side
    4,662,780x = 100,684,005,676,164
  5. Step 5: Solve for x
    x = 100,684,005,676,164/4,662,780
  6. Step 6: Final answer
    x = 21,593,128.06

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.