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Finding the Third Proportional to 5,746,411 and 12,501,731

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Solution

The third proportional to 5,746,411 and 12,501,731 is: 27,198,416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746,411 : 12,501,731 = 12,501,731 : x
  2. Step 2: Convert to fraction form
    5,746,411/12,501,731 = 12,501,731/x
  3. Step 3: Cross multiply
    5,746,411x = 12,501,731 × 12,501,731
  4. Step 4: Simplify right side
    5,746,411x = 156,293,277,996,361
  5. Step 5: Solve for x
    x = 156,293,277,996,361/5,746,411
  6. Step 6: Final answer
    x = 27,198,416.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.