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Finding the Third Proportional to 5,206,426 and 10,666,580

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Solution

The third proportional to 5,206,426 and 10,666,580 is: 21,852,981.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206,426 : 10,666,580 = 10,666,580 : x
  2. Step 2: Convert to fraction form
    5,206,426/10,666,580 = 10,666,580/x
  3. Step 3: Cross multiply
    5,206,426x = 10,666,580 × 10,666,580
  4. Step 4: Simplify right side
    5,206,426x = 113,775,928,896,400
  5. Step 5: Solve for x
    x = 113,775,928,896,400/5,206,426
  6. Step 6: Final answer
    x = 21,852,981.08

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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.