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Finding the Third Proportional to 7,416,916 and 15,402,268

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Solution

The third proportional to 7,416,916 and 15,402,268 is: 31,984,973.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,416,916 : 15,402,268 = 15,402,268 : x
  2. Step 2: Convert to fraction form
    7,416,916/15,402,268 = 15,402,268/x
  3. Step 3: Cross multiply
    7,416,916x = 15,402,268 × 15,402,268
  4. Step 4: Simplify right side
    7,416,916x = 237,229,859,543,824
  5. Step 5: Solve for x
    x = 237,229,859,543,824/7,416,916
  6. Step 6: Final answer
    x = 31,984,973.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.