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Finding the Third Proportional to 5,983,202 and 12,807,076

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Solution

The third proportional to 5,983,202 and 12,807,076 is: 27,413,614.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983,202 : 12,807,076 = 12,807,076 : x
  2. Step 2: Convert to fraction form
    5,983,202/12,807,076 = 12,807,076/x
  3. Step 3: Cross multiply
    5,983,202x = 12,807,076 × 12,807,076
  4. Step 4: Simplify right side
    5,983,202x = 164,021,195,669,776
  5. Step 5: Solve for x
    x = 164,021,195,669,776/5,983,202
  6. Step 6: Final answer
    x = 27,413,614.93

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