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Finding the Third Proportional to 10,927,746 and 16,037,324

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Solution

The third proportional to 10,927,746 and 16,037,324 is: 23,536,030.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,927,746 : 16,037,324 = 16,037,324 : x
  2. Step 2: Convert to fraction form
    10,927,746/16,037,324 = 16,037,324/x
  3. Step 3: Cross multiply
    10,927,746x = 16,037,324 × 16,037,324
  4. Step 4: Simplify right side
    10,927,746x = 257,195,761,080,976
  5. Step 5: Solve for x
    x = 257,195,761,080,976/10,927,746
  6. Step 6: Final answer
    x = 23,536,030.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.