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Finding the Third Proportional to 5,979,294 and 14,037,345

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Solution

The third proportional to 5,979,294 and 14,037,345 is: 32,954,903.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,979,294 : 14,037,345 = 14,037,345 : x
  2. Step 2: Convert to fraction form
    5,979,294/14,037,345 = 14,037,345/x
  3. Step 3: Cross multiply
    5,979,294x = 14,037,345 × 14,037,345
  4. Step 4: Simplify right side
    5,979,294x = 197,047,054,649,025
  5. Step 5: Solve for x
    x = 197,047,054,649,025/5,979,294
  6. Step 6: Final answer
    x = 32,954,903.15

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.