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Finding the Third Proportional to 9,677,824 and 20,501,312

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Solution

The third proportional to 9,677,824 and 20,501,312 is: 43,429,576.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677,824 : 20,501,312 = 20,501,312 : x
  2. Step 2: Convert to fraction form
    9,677,824/20,501,312 = 20,501,312/x
  3. Step 3: Cross multiply
    9,677,824x = 20,501,312 × 20,501,312
  4. Step 4: Simplify right side
    9,677,824x = 420,303,793,721,344
  5. Step 5: Solve for x
    x = 420,303,793,721,344/9,677,824
  6. Step 6: Final answer
    x = 43,429,576.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.