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Finding the Third Proportional to 7,442,078 and 16,024,332

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Solution

The third proportional to 7,442,078 and 16,024,332 is: 34,503,698.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442,078 : 16,024,332 = 16,024,332 : x
  2. Step 2: Convert to fraction form
    7,442,078/16,024,332 = 16,024,332/x
  3. Step 3: Cross multiply
    7,442,078x = 16,024,332 × 16,024,332
  4. Step 4: Simplify right side
    7,442,078x = 256,779,216,046,224
  5. Step 5: Solve for x
    x = 256,779,216,046,224/7,442,078
  6. Step 6: Final answer
    x = 34,503,698.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.