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Finding the Third Proportional to 6,500,160 and 14,084,928

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Solution

The third proportional to 6,500,160 and 14,084,928 is: 30,520,048.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500,160 : 14,084,928 = 14,084,928 : x
  2. Step 2: Convert to fraction form
    6,500,160/14,084,928 = 14,084,928/x
  3. Step 3: Cross multiply
    6,500,160x = 14,084,928 × 14,084,928
  4. Step 4: Simplify right side
    6,500,160x = 198,385,196,765,184
  5. Step 5: Solve for x
    x = 198,385,196,765,184/6,500,160
  6. Step 6: Final answer
    x = 30,520,048.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.