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Finding the Third Proportional to 7,658,372 and 16,153,320

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Solution

The third proportional to 7,658,372 and 16,153,320 is: 34,071,176.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658,372 : 16,153,320 = 16,153,320 : x
  2. Step 2: Convert to fraction form
    7,658,372/16,153,320 = 16,153,320/x
  3. Step 3: Cross multiply
    7,658,372x = 16,153,320 × 16,153,320
  4. Step 4: Simplify right side
    7,658,372x = 260,929,747,022,400
  5. Step 5: Solve for x
    x = 260,929,747,022,400/7,658,372
  6. Step 6: Final answer
    x = 34,071,176.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.