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Finding the Third Proportional to 13,720,724 and 29,832,842

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Solution

The third proportional to 13,720,724 and 29,832,842 is: 64,865,269.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,720,724 : 29,832,842 = 29,832,842 : x
  2. Step 2: Convert to fraction form
    13,720,724/29,832,842 = 29,832,842/x
  3. Step 3: Cross multiply
    13,720,724x = 29,832,842 × 29,832,842
  4. Step 4: Simplify right side
    13,720,724x = 889,998,461,796,964
  5. Step 5: Solve for x
    x = 889,998,461,796,964/13,720,724
  6. Step 6: Final answer
    x = 64,865,269.63

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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.