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Finding the Third Proportional to 13,762,494 and 21,864,168

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Solution

The third proportional to 13,762,494 and 21,864,168 is: 34,735,117.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762,494 : 21,864,168 = 21,864,168 : x
  2. Step 2: Convert to fraction form
    13,762,494/21,864,168 = 21,864,168/x
  3. Step 3: Cross multiply
    13,762,494x = 21,864,168 × 21,864,168
  4. Step 4: Simplify right side
    13,762,494x = 478,041,842,332,224
  5. Step 5: Solve for x
    x = 478,041,842,332,224/13,762,494
  6. Step 6: Final answer
    x = 34,735,117.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.