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Finding the Third Proportional to 13,035,213 and 19,720,593

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Solution

The third proportional to 13,035,213 and 19,720,593 is: 29,834,709.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,035,213 : 19,720,593 = 19,720,593 : x
  2. Step 2: Convert to fraction form
    13,035,213/19,720,593 = 19,720,593/x
  3. Step 3: Cross multiply
    13,035,213x = 19,720,593 × 19,720,593
  4. Step 4: Simplify right side
    13,035,213x = 388,901,788,271,649
  5. Step 5: Solve for x
    x = 388,901,788,271,649/13,035,213
  6. Step 6: Final answer
    x = 29,834,709.13

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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.