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Finding the Third Proportional to 16,509,784 and 35,017,392

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Solution

The third proportional to 16,509,784 and 35,017,392 is: 74,272,185.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509,784 : 35,017,392 = 35,017,392 : x
  2. Step 2: Convert to fraction form
    16,509,784/35,017,392 = 35,017,392/x
  3. Step 3: Cross multiply
    16,509,784x = 35,017,392 × 35,017,392
  4. Step 4: Simplify right side
    16,509,784x = 1,226,217,742,481,664
  5. Step 5: Solve for x
    x = 1,226,217,742,481,664/16,509,784
  6. Step 6: Final answer
    x = 74,272,185.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.