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Finding the Third Proportional to 13,261,347 and 19,810,197

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Solution

The third proportional to 13,261,347 and 19,810,197 is: 29,593,065.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,261,347 : 19,810,197 = 19,810,197 : x
  2. Step 2: Convert to fraction form
    13,261,347/19,810,197 = 19,810,197/x
  3. Step 3: Cross multiply
    13,261,347x = 19,810,197 × 19,810,197
  4. Step 4: Simplify right side
    13,261,347x = 392,443,905,178,809
  5. Step 5: Solve for x
    x = 392,443,905,178,809/13,261,347
  6. Step 6: Final answer
    x = 29,593,065.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.