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Finding the Third Proportional to 9,756,964 and 14,285,526

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Solution

The third proportional to 9,756,964 and 14,285,526 is: 20,915,958.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756,964 : 14,285,526 = 14,285,526 : x
  2. Step 2: Convert to fraction form
    9,756,964/14,285,526 = 14,285,526/x
  3. Step 3: Cross multiply
    9,756,964x = 14,285,526 × 14,285,526
  4. Step 4: Simplify right side
    9,756,964x = 204,076,253,096,676
  5. Step 5: Solve for x
    x = 204,076,253,096,676/9,756,964
  6. Step 6: Final answer
    x = 20,915,958.40

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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.