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Finding the Third Proportional to 7,866,270 and 17,293,580

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Solution

The third proportional to 7,866,270 and 17,293,580 is: 38,019,024.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866,270 : 17,293,580 = 17,293,580 : x
  2. Step 2: Convert to fraction form
    7,866,270/17,293,580 = 17,293,580/x
  3. Step 3: Cross multiply
    7,866,270x = 17,293,580 × 17,293,580
  4. Step 4: Simplify right side
    7,866,270x = 299,067,909,216,400
  5. Step 5: Solve for x
    x = 299,067,909,216,400/7,866,270
  6. Step 6: Final answer
    x = 38,019,024.16

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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.