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Finding the Third Proportional to 13,035,199 and 19,720,571

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Solution

The third proportional to 13,035,199 and 19,720,571 is: 29,834,674.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,035,199 : 19,720,571 = 19,720,571 : x
  2. Step 2: Convert to fraction form
    13,035,199/19,720,571 = 19,720,571/x
  3. Step 3: Cross multiply
    13,035,199x = 19,720,571 × 19,720,571
  4. Step 4: Simplify right side
    13,035,199x = 388,900,920,566,041
  5. Step 5: Solve for x
    x = 388,900,920,566,041/13,035,199
  6. Step 6: Final answer
    x = 29,834,674.60

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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.