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Finding the Third Proportional to 5,259,776 and 11,318,656

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Solution

The third proportional to 5,259,776 and 11,318,656 is: 24,356,925.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259,776 : 11,318,656 = 11,318,656 : x
  2. Step 2: Convert to fraction form
    5,259,776/11,318,656 = 11,318,656/x
  3. Step 3: Cross multiply
    5,259,776x = 11,318,656 × 11,318,656
  4. Step 4: Simplify right side
    5,259,776x = 128,111,973,646,336
  5. Step 5: Solve for x
    x = 128,111,973,646,336/5,259,776
  6. Step 6: Final answer
    x = 24,356,925.78

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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.