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Finding the Third Proportional to 9,418,770 and 20,343,276

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Solution

The third proportional to 9,418,770 and 20,343,276 is: 43,938,739.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,418,770 : 20,343,276 = 20,343,276 : x
  2. Step 2: Convert to fraction form
    9,418,770/20,343,276 = 20,343,276/x
  3. Step 3: Cross multiply
    9,418,770x = 20,343,276 × 20,343,276
  4. Step 4: Simplify right side
    9,418,770x = 413,848,878,412,176
  5. Step 5: Solve for x
    x = 413,848,878,412,176/9,418,770
  6. Step 6: Final answer
    x = 43,938,739.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.