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Finding the Third Proportional to 4,142,178 and 9,037,413

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Solution

The third proportional to 4,142,178 and 9,037,413 is: 19,717,847.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142,178 : 9,037,413 = 9,037,413 : x
  2. Step 2: Convert to fraction form
    4,142,178/9,037,413 = 9,037,413/x
  3. Step 3: Cross multiply
    4,142,178x = 9,037,413 × 9,037,413
  4. Step 4: Simplify right side
    4,142,178x = 81,674,833,732,569
  5. Step 5: Solve for x
    x = 81,674,833,732,569/4,142,178
  6. Step 6: Final answer
    x = 19,717,847.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.