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Finding the Third Proportional to 13,744,641 and 20,196,205

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Solution

The third proportional to 13,744,641 and 20,196,205 is: 29,676,053.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744,641 : 20,196,205 = 20,196,205 : x
  2. Step 2: Convert to fraction form
    13,744,641/20,196,205 = 20,196,205/x
  3. Step 3: Cross multiply
    13,744,641x = 20,196,205 × 20,196,205
  4. Step 4: Simplify right side
    13,744,641x = 407,886,696,402,025
  5. Step 5: Solve for x
    x = 407,886,696,402,025/13,744,641
  6. Step 6: Final answer
    x = 29,676,053.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.