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Finding the Third Proportional to 6,866,106 and 10,088,964

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Solution

The third proportional to 6,866,106 and 10,088,964 is: 14,824,588.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866,106 : 10,088,964 = 10,088,964 : x
  2. Step 2: Convert to fraction form
    6,866,106/10,088,964 = 10,088,964/x
  3. Step 3: Cross multiply
    6,866,106x = 10,088,964 × 10,088,964
  4. Step 4: Simplify right side
    6,866,106x = 101,787,194,593,296
  5. Step 5: Solve for x
    x = 101,787,194,593,296/6,866,106
  6. Step 6: Final answer
    x = 14,824,588.29

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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.