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Finding the Third Proportional to 6,895,931.36 and 14,632,446.00

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Solution

The third proportional to 6,895,931.36 and 14,632,446.00 is: 31,048,521.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895,931.36 : 14,632,446.00 = 14,632,446.00 : x
  2. Step 2: Convert to fraction form
    6,895,931.36/14,632,446.00 = 14,632,446.00/x
  3. Step 3: Cross multiply
    6,895,931.36x = 14,632,446.00 × 14,632,446.00
  4. Step 4: Simplify right side
    6,895,931.36x = 214,108,475,857,169.84
  5. Step 5: Solve for x
    x = 214,108,475,857,169.84/6,895,931.36
  6. Step 6: Final answer
    x = 31,048,521.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.