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Finding the Third Proportional to 6,077,385 and 12,968,352

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Solution

The third proportional to 6,077,385 and 12,968,352 is: 27,672,782.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077,385 : 12,968,352 = 12,968,352 : x
  2. Step 2: Convert to fraction form
    6,077,385/12,968,352 = 12,968,352/x
  3. Step 3: Cross multiply
    6,077,385x = 12,968,352 × 12,968,352
  4. Step 4: Simplify right side
    6,077,385x = 168,178,153,595,904
  5. Step 5: Solve for x
    x = 168,178,153,595,904/6,077,385
  6. Step 6: Final answer
    x = 27,672,782.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.