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Finding the Third Proportional to 5,013,570 and 10,292,580

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Solution

The third proportional to 5,013,570 and 10,292,580 is: 21,130,093.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,013,570 : 10,292,580 = 10,292,580 : x
  2. Step 2: Convert to fraction form
    5,013,570/10,292,580 = 10,292,580/x
  3. Step 3: Cross multiply
    5,013,570x = 10,292,580 × 10,292,580
  4. Step 4: Simplify right side
    5,013,570x = 105,937,203,056,400
  5. Step 5: Solve for x
    x = 105,937,203,056,400/5,013,570
  6. Step 6: Final answer
    x = 21,130,093.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.