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Finding the Third Proportional to 13,677,510 and 29,624,712

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Solution

The third proportional to 13,677,510 and 29,624,712 is: 64,165,448.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677,510 : 29,624,712 = 29,624,712 : x
  2. Step 2: Convert to fraction form
    13,677,510/29,624,712 = 29,624,712/x
  3. Step 3: Cross multiply
    13,677,510x = 29,624,712 × 29,624,712
  4. Step 4: Simplify right side
    13,677,510x = 877,623,561,082,944
  5. Step 5: Solve for x
    x = 877,623,561,082,944/13,677,510
  6. Step 6: Final answer
    x = 64,165,448.32

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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.