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Finding the Third Proportional to 7,562,672 and 16,594,768

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Solution

The third proportional to 7,562,672 and 16,594,768 is: 36,413,892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562,672 : 16,594,768 = 16,594,768 : x
  2. Step 2: Convert to fraction form
    7,562,672/16,594,768 = 16,594,768/x
  3. Step 3: Cross multiply
    7,562,672x = 16,594,768 × 16,594,768
  4. Step 4: Simplify right side
    7,562,672x = 275,386,324,973,824
  5. Step 5: Solve for x
    x = 275,386,324,973,824/7,562,672
  6. Step 6: Final answer
    x = 36,413,892.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.