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Finding the Third Proportional to 10,916,365.88 and 16,382,541

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Solution

The third proportional to 10,916,365.88 and 16,382,541 is: 24,585,805.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916,365.88 : 16,382,541 = 16,382,541 : x
  2. Step 2: Convert to fraction form
    10,916,365.88/16,382,541 = 16,382,541/x
  3. Step 3: Cross multiply
    10,916,365.88x = 16,382,541 × 16,382,541
  4. Step 4: Simplify right side
    10,916,365.88x = 268,387,649,616,681
  5. Step 5: Solve for x
    x = 268,387,649,616,681/10,916,365.88
  6. Step 6: Final answer
    x = 24,585,805.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.