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Finding the Third Proportional to 5,796,480 and 12,712,704

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Solution

The third proportional to 5,796,480 and 12,712,704 is: 27,881,204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796,480 : 12,712,704 = 12,712,704 : x
  2. Step 2: Convert to fraction form
    5,796,480/12,712,704 = 12,712,704/x
  3. Step 3: Cross multiply
    5,796,480x = 12,712,704 × 12,712,704
  4. Step 4: Simplify right side
    5,796,480x = 161,612,842,991,616
  5. Step 5: Solve for x
    x = 161,612,842,991,616/5,796,480
  6. Step 6: Final answer
    x = 27,881,204.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.