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Finding the Third Proportional to 9,807,540 and 15,307,353

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Solution

The third proportional to 9,807,540 and 15,307,353 is: 23,891,317.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807,540 : 15,307,353 = 15,307,353 : x
  2. Step 2: Convert to fraction form
    9,807,540/15,307,353 = 15,307,353/x
  3. Step 3: Cross multiply
    9,807,540x = 15,307,353 × 15,307,353
  4. Step 4: Simplify right side
    9,807,540x = 234,315,055,866,609
  5. Step 5: Solve for x
    x = 234,315,055,866,609/9,807,540
  6. Step 6: Final answer
    x = 23,891,317.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.