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Finding the Third Proportional to 9,713,096 and 14,254,716

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Solution

The third proportional to 9,713,096 and 14,254,716 is: 20,919,892.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713,096 : 14,254,716 = 14,254,716 : x
  2. Step 2: Convert to fraction form
    9,713,096/14,254,716 = 14,254,716/x
  3. Step 3: Cross multiply
    9,713,096x = 14,254,716 × 14,254,716
  4. Step 4: Simplify right side
    9,713,096x = 203,196,928,240,656
  5. Step 5: Solve for x
    x = 203,196,928,240,656/9,713,096
  6. Step 6: Final answer
    x = 20,919,892.92

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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.