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Finding the Third Proportional to 12,838,646 and 27,699,556

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Solution

The third proportional to 12,838,646 and 27,699,556 is: 59,762,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838,646 : 27,699,556 = 27,699,556 : x
  2. Step 2: Convert to fraction form
    12,838,646/27,699,556 = 27,699,556/x
  3. Step 3: Cross multiply
    12,838,646x = 27,699,556 × 27,699,556
  4. Step 4: Simplify right side
    12,838,646x = 767,265,402,597,136
  5. Step 5: Solve for x
    x = 767,265,402,597,136/12,838,646
  6. Step 6: Final answer
    x = 59,762,174.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.