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Finding the Third Proportional to 12,529,766 and 19,937,487

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Solution

The third proportional to 12,529,766 and 19,937,487 is: 31,724,725.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,529,766 : 19,937,487 = 19,937,487 : x
  2. Step 2: Convert to fraction form
    12,529,766/19,937,487 = 19,937,487/x
  3. Step 3: Cross multiply
    12,529,766x = 19,937,487 × 19,937,487
  4. Step 4: Simplify right side
    12,529,766x = 397,503,387,875,169
  5. Step 5: Solve for x
    x = 397,503,387,875,169/12,529,766
  6. Step 6: Final answer
    x = 31,724,725.58

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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.