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Finding the Third Proportional to 7,182,468 and 15,361,128

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Solution

The third proportional to 7,182,468 and 15,361,128 is: 32,852,809.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182,468 : 15,361,128 = 15,361,128 : x
  2. Step 2: Convert to fraction form
    7,182,468/15,361,128 = 15,361,128/x
  3. Step 3: Cross multiply
    7,182,468x = 15,361,128 × 15,361,128
  4. Step 4: Simplify right side
    7,182,468x = 235,964,253,432,384
  5. Step 5: Solve for x
    x = 235,964,253,432,384/7,182,468
  6. Step 6: Final answer
    x = 32,852,809.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.