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Finding the Third Proportional to 8,429,760 and 18,498,528

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Solution

The third proportional to 8,429,760 and 18,498,528 is: 40,593,746.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429,760 : 18,498,528 = 18,498,528 : x
  2. Step 2: Convert to fraction form
    8,429,760/18,498,528 = 18,498,528/x
  3. Step 3: Cross multiply
    8,429,760x = 18,498,528 × 18,498,528
  4. Step 4: Simplify right side
    8,429,760x = 342,195,538,166,784
  5. Step 5: Solve for x
    x = 342,195,538,166,784/8,429,760
  6. Step 6: Final answer
    x = 40,593,746.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.