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Finding the Third Proportional to 6,525,850 and 13,996,160

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Solution

The third proportional to 6,525,850 and 13,996,160 is: 30,017,927.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525,850 : 13,996,160 = 13,996,160 : x
  2. Step 2: Convert to fraction form
    6,525,850/13,996,160 = 13,996,160/x
  3. Step 3: Cross multiply
    6,525,850x = 13,996,160 × 13,996,160
  4. Step 4: Simplify right side
    6,525,850x = 195,892,494,745,600
  5. Step 5: Solve for x
    x = 195,892,494,745,600/6,525,850
  6. Step 6: Final answer
    x = 30,017,927.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.