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Finding the Third Proportional to 5,149,563 and 7,566,696

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Solution

The third proportional to 5,149,563 and 7,566,696 is: 11,118,397.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149,563 : 7,566,696 = 7,566,696 : x
  2. Step 2: Convert to fraction form
    5,149,563/7,566,696 = 7,566,696/x
  3. Step 3: Cross multiply
    5,149,563x = 7,566,696 × 7,566,696
  4. Step 4: Simplify right side
    5,149,563x = 57,254,888,356,416
  5. Step 5: Solve for x
    x = 57,254,888,356,416/5,149,563
  6. Step 6: Final answer
    x = 11,118,397.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.