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Finding the Third Proportional to 7,835,929 and 11,872,403

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Solution

The third proportional to 7,835,929 and 11,872,403 is: 17,988,161.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835,929 : 11,872,403 = 11,872,403 : x
  2. Step 2: Convert to fraction form
    7,835,929/11,872,403 = 11,872,403/x
  3. Step 3: Cross multiply
    7,835,929x = 11,872,403 × 11,872,403
  4. Step 4: Simplify right side
    7,835,929x = 140,953,952,994,409
  5. Step 5: Solve for x
    x = 140,953,952,994,409/7,835,929
  6. Step 6: Final answer
    x = 17,988,161.07

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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.