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Finding the Third Proportional to 10,968,374 and 16,028,769

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Solution

The third proportional to 10,968,374 and 16,028,769 is: 23,423,839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,968,374 : 16,028,769 = 16,028,769 : x
  2. Step 2: Convert to fraction form
    10,968,374/16,028,769 = 16,028,769/x
  3. Step 3: Cross multiply
    10,968,374x = 16,028,769 × 16,028,769
  4. Step 4: Simplify right side
    10,968,374x = 256,921,435,655,361
  5. Step 5: Solve for x
    x = 256,921,435,655,361/10,968,374
  6. Step 6: Final answer
    x = 23,423,839.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.