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Finding the Third Proportional to 10,927,864 and 16,037,492

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Solution

The third proportional to 10,927,864 and 16,037,492 is: 23,536,269.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,927,864 : 16,037,492 = 16,037,492 : x
  2. Step 2: Convert to fraction form
    10,927,864/16,037,492 = 16,037,492/x
  3. Step 3: Cross multiply
    10,927,864x = 16,037,492 × 16,037,492
  4. Step 4: Simplify right side
    10,927,864x = 257,201,149,650,064
  5. Step 5: Solve for x
    x = 257,201,149,650,064/10,927,864
  6. Step 6: Final answer
    x = 23,536,269.27

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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.