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Finding the Third Proportional to 7,642,552 and 11,148,768

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Solution

The third proportional to 7,642,552 and 11,148,768 is: 16,263,550.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642,552 : 11,148,768 = 11,148,768 : x
  2. Step 2: Convert to fraction form
    7,642,552/11,148,768 = 11,148,768/x
  3. Step 3: Cross multiply
    7,642,552x = 11,148,768 × 11,148,768
  4. Step 4: Simplify right side
    7,642,552x = 124,295,027,917,824
  5. Step 5: Solve for x
    x = 124,295,027,917,824/7,642,552
  6. Step 6: Final answer
    x = 16,263,550.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.