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Finding the Third Proportional to 6,539,309 and 10,767,656

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Solution

The third proportional to 6,539,309 and 10,767,656 is: 17,730,071.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539,309 : 10,767,656 = 10,767,656 : x
  2. Step 2: Convert to fraction form
    6,539,309/10,767,656 = 10,767,656/x
  3. Step 3: Cross multiply
    6,539,309x = 10,767,656 × 10,767,656
  4. Step 4: Simplify right side
    6,539,309x = 115,942,415,734,336
  5. Step 5: Solve for x
    x = 115,942,415,734,336/6,539,309
  6. Step 6: Final answer
    x = 17,730,071.44

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.