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Finding the Third Proportional to 7,402,872 and 17,833,818

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Solution

The third proportional to 7,402,872 and 17,833,818 is: 42,962,388.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402,872 : 17,833,818 = 17,833,818 : x
  2. Step 2: Convert to fraction form
    7,402,872/17,833,818 = 17,833,818/x
  3. Step 3: Cross multiply
    7,402,872x = 17,833,818 × 17,833,818
  4. Step 4: Simplify right side
    7,402,872x = 318,045,064,457,124
  5. Step 5: Solve for x
    x = 318,045,064,457,124/7,402,872
  6. Step 6: Final answer
    x = 42,962,388.71

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.