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Finding the Third Proportional to 6,965,514 and 10,553,409

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Solution

The third proportional to 6,965,514 and 10,553,409 is: 15,989,407.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965,514 : 10,553,409 = 10,553,409 : x
  2. Step 2: Convert to fraction form
    6,965,514/10,553,409 = 10,553,409/x
  3. Step 3: Cross multiply
    6,965,514x = 10,553,409 × 10,553,409
  4. Step 4: Simplify right side
    6,965,514x = 111,374,441,521,281
  5. Step 5: Solve for x
    x = 111,374,441,521,281/6,965,514
  6. Step 6: Final answer
    x = 15,989,407.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.