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Finding the Third Proportional to 13,823,007 and 29,946,158

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Solution

The third proportional to 13,823,007 and 29,946,158 is: 64,875,347.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823,007 : 29,946,158 = 29,946,158 : x
  2. Step 2: Convert to fraction form
    13,823,007/29,946,158 = 29,946,158/x
  3. Step 3: Cross multiply
    13,823,007x = 29,946,158 × 29,946,158
  4. Step 4: Simplify right side
    13,823,007x = 896,772,378,960,964
  5. Step 5: Solve for x
    x = 896,772,378,960,964/13,823,007
  6. Step 6: Final answer
    x = 64,875,347.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.