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Finding the Third Proportional to 8,564,740 and 19,018,760

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Solution

The third proportional to 8,564,740 and 19,018,760 is: 42,232,832.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564,740 : 19,018,760 = 19,018,760 : x
  2. Step 2: Convert to fraction form
    8,564,740/19,018,760 = 19,018,760/x
  3. Step 3: Cross multiply
    8,564,740x = 19,018,760 × 19,018,760
  4. Step 4: Simplify right side
    8,564,740x = 361,713,231,937,600
  5. Step 5: Solve for x
    x = 361,713,231,937,600/8,564,740
  6. Step 6: Final answer
    x = 42,232,832.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.