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Finding the Third Proportional to 4,824,918 and 10,609,382

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Solution

The third proportional to 4,824,918 and 10,609,382 is: 23,328,683.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824,918 : 10,609,382 = 10,609,382 : x
  2. Step 2: Convert to fraction form
    4,824,918/10,609,382 = 10,609,382/x
  3. Step 3: Cross multiply
    4,824,918x = 10,609,382 × 10,609,382
  4. Step 4: Simplify right side
    4,824,918x = 112,558,986,421,924
  5. Step 5: Solve for x
    x = 112,558,986,421,924/4,824,918
  6. Step 6: Final answer
    x = 23,328,683.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.