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Finding the Third Proportional to 13,035,202 and 19,720,576

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Solution

The third proportional to 13,035,202 and 19,720,576 is: 29,834,682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,035,202 : 19,720,576 = 19,720,576 : x
  2. Step 2: Convert to fraction form
    13,035,202/19,720,576 = 19,720,576/x
  3. Step 3: Cross multiply
    13,035,202x = 19,720,576 × 19,720,576
  4. Step 4: Simplify right side
    13,035,202x = 388,901,117,771,776
  5. Step 5: Solve for x
    x = 388,901,117,771,776/13,035,202
  6. Step 6: Final answer
    x = 29,834,682.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.