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Finding the Third Proportional to 9,748,271.25 and 13,627,983.38

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Solution

The third proportional to 9,748,271.25 and 13,627,983.38 is: 19,051,781.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748,271.25 : 13,627,983.38 = 13,627,983.38 : x
  2. Step 2: Convert to fraction form
    9,748,271.25/13,627,983.38 = 13,627,983.38/x
  3. Step 3: Cross multiply
    9,748,271.25x = 13,627,983.38 × 13,627,983.38
  4. Step 4: Simplify right side
    9,748,271.25x = 185,721,930,869,276.38
  5. Step 5: Solve for x
    x = 185,721,930,869,276.38/9,748,271.25
  6. Step 6: Final answer
    x = 19,051,781.19

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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.