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Finding the Third Proportional to 13,723,952 and 20,186,688

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Solution

The third proportional to 13,723,952 and 20,186,688 is: 29,692,786.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,723,952 : 20,186,688 = 20,186,688 : x
  2. Step 2: Convert to fraction form
    13,723,952/20,186,688 = 20,186,688/x
  3. Step 3: Cross multiply
    13,723,952x = 20,186,688 × 20,186,688
  4. Step 4: Simplify right side
    13,723,952x = 407,502,372,409,344
  5. Step 5: Solve for x
    x = 407,502,372,409,344/13,723,952
  6. Step 6: Final answer
    x = 29,692,786.19

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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.