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Finding the Third Proportional to 5,561,376 and 12,185,712

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Solution

The third proportional to 5,561,376 and 12,185,712 is: 26,700,510.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,561,376 : 12,185,712 = 12,185,712 : x
  2. Step 2: Convert to fraction form
    5,561,376/12,185,712 = 12,185,712/x
  3. Step 3: Cross multiply
    5,561,376x = 12,185,712 × 12,185,712
  4. Step 4: Simplify right side
    5,561,376x = 148,491,576,946,944
  5. Step 5: Solve for x
    x = 148,491,576,946,944/5,561,376
  6. Step 6: Final answer
    x = 26,700,510.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.