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Finding the Third Proportional to 13,822,431 and 18,607,746

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Solution

The third proportional to 13,822,431 and 18,607,746 is: 25,049,733.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822,431 : 18,607,746 = 18,607,746 : x
  2. Step 2: Convert to fraction form
    13,822,431/18,607,746 = 18,607,746/x
  3. Step 3: Cross multiply
    13,822,431x = 18,607,746 × 18,607,746
  4. Step 4: Simplify right side
    13,822,431x = 346,248,211,200,516
  5. Step 5: Solve for x
    x = 346,248,211,200,516/13,822,431
  6. Step 6: Final answer
    x = 25,049,733.38

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.