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Finding the Third Proportional to 5,645,748 and 12,019,767

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Solution

The third proportional to 5,645,748 and 12,019,767 is: 25,590,019.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645,748 : 12,019,767 = 12,019,767 : x
  2. Step 2: Convert to fraction form
    5,645,748/12,019,767 = 12,019,767/x
  3. Step 3: Cross multiply
    5,645,748x = 12,019,767 × 12,019,767
  4. Step 4: Simplify right side
    5,645,748x = 144,474,798,734,289
  5. Step 5: Solve for x
    x = 144,474,798,734,289/5,645,748
  6. Step 6: Final answer
    x = 25,590,019.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.