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Finding the Third Proportional to 4,707,144 and 10,160,784

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Solution

The third proportional to 4,707,144 and 10,160,784 is: 21,932,945.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707,144 : 10,160,784 = 10,160,784 : x
  2. Step 2: Convert to fraction form
    4,707,144/10,160,784 = 10,160,784/x
  3. Step 3: Cross multiply
    4,707,144x = 10,160,784 × 10,160,784
  4. Step 4: Simplify right side
    4,707,144x = 103,241,531,494,656
  5. Step 5: Solve for x
    x = 103,241,531,494,656/4,707,144
  6. Step 6: Final answer
    x = 21,932,945.22

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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.