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Finding the Third Proportional to 6,825,900.38 and 14,623,307.16

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Solution

The third proportional to 6,825,900.38 and 14,623,307.16 is: 31,327,898.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825,900.38 : 14,623,307.16 = 14,623,307.16 : x
  2. Step 2: Convert to fraction form
    6,825,900.38/14,623,307.16 = 14,623,307.16/x
  3. Step 3: Cross multiply
    6,825,900.38x = 14,623,307.16 × 14,623,307.16
  4. Step 4: Simplify right side
    6,825,900.38x = 213,841,112,186,032.47
  5. Step 5: Solve for x
    x = 213,841,112,186,032.47/6,825,900.38
  6. Step 6: Final answer
    x = 31,327,898.22

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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.