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Finding the Third Proportional to 9,988,584 and 21,493,119

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Solution

The third proportional to 9,988,584 and 21,493,119 is: 46,248,213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,988,584 : 21,493,119 = 21,493,119 : x
  2. Step 2: Convert to fraction form
    9,988,584/21,493,119 = 21,493,119/x
  3. Step 3: Cross multiply
    9,988,584x = 21,493,119 × 21,493,119
  4. Step 4: Simplify right side
    9,988,584x = 461,954,164,348,161
  5. Step 5: Solve for x
    x = 461,954,164,348,161/9,988,584
  6. Step 6: Final answer
    x = 46,248,213.40

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Why These Related Problems?

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