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Finding the Third Proportional to 6,449,280 and 14,059,776

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Solution

The third proportional to 6,449,280 and 14,059,776 is: 30,651,065.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449,280 : 14,059,776 = 14,059,776 : x
  2. Step 2: Convert to fraction form
    6,449,280/14,059,776 = 14,059,776/x
  3. Step 3: Cross multiply
    6,449,280x = 14,059,776 × 14,059,776
  4. Step 4: Simplify right side
    6,449,280x = 197,677,301,170,176
  5. Step 5: Solve for x
    x = 197,677,301,170,176/6,449,280
  6. Step 6: Final answer
    x = 30,651,065.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.