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Finding the Third Proportional to 5,233,129 and 7,677,466

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Solution

The third proportional to 5,233,129 and 7,677,466 is: 11,263,525.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233,129 : 7,677,466 = 7,677,466 : x
  2. Step 2: Convert to fraction form
    5,233,129/7,677,466 = 7,677,466/x
  3. Step 3: Cross multiply
    5,233,129x = 7,677,466 × 7,677,466
  4. Step 4: Simplify right side
    5,233,129x = 58,943,484,181,156
  5. Step 5: Solve for x
    x = 58,943,484,181,156/5,233,129
  6. Step 6: Final answer
    x = 11,263,525.93

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.