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Finding the Third Proportional to 5,120,804 and 10,972,013

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Solution

The third proportional to 5,120,804 and 10,972,013 is: 23,509,017.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120,804 : 10,972,013 = 10,972,013 : x
  2. Step 2: Convert to fraction form
    5,120,804/10,972,013 = 10,972,013/x
  3. Step 3: Cross multiply
    5,120,804x = 10,972,013 × 10,972,013
  4. Step 4: Simplify right side
    5,120,804x = 120,385,069,272,169
  5. Step 5: Solve for x
    x = 120,385,069,272,169/5,120,804
  6. Step 6: Final answer
    x = 23,509,017.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.