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Finding the Third Proportional to 6,423,256 and 9,232,468

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Solution

The third proportional to 6,423,256 and 9,232,468 is: 13,270,289.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423,256 : 9,232,468 = 9,232,468 : x
  2. Step 2: Convert to fraction form
    6,423,256/9,232,468 = 9,232,468/x
  3. Step 3: Cross multiply
    6,423,256x = 9,232,468 × 9,232,468
  4. Step 4: Simplify right side
    6,423,256x = 85,238,465,371,024
  5. Step 5: Solve for x
    x = 85,238,465,371,024/6,423,256
  6. Step 6: Final answer
    x = 13,270,289.30

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.