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Finding the Third Proportional to 4,874,151 and 6,814,013

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Solution

The third proportional to 4,874,151 and 6,814,013 is: 9,525,920.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874,151 : 6,814,013 = 6,814,013 : x
  2. Step 2: Convert to fraction form
    4,874,151/6,814,013 = 6,814,013/x
  3. Step 3: Cross multiply
    4,874,151x = 6,814,013 × 6,814,013
  4. Step 4: Simplify right side
    4,874,151x = 46,430,773,164,169
  5. Step 5: Solve for x
    x = 46,430,773,164,169/4,874,151
  6. Step 6: Final answer
    x = 9,525,920.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.