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Finding the Third Proportional to 12,616,536 and 19,765,764

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Solution

The third proportional to 12,616,536 and 19,765,764 is: 30,966,140.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616,536 : 19,765,764 = 19,765,764 : x
  2. Step 2: Convert to fraction form
    12,616,536/19,765,764 = 19,765,764/x
  3. Step 3: Cross multiply
    12,616,536x = 19,765,764 × 19,765,764
  4. Step 4: Simplify right side
    12,616,536x = 390,685,426,503,696
  5. Step 5: Solve for x
    x = 390,685,426,503,696/12,616,536
  6. Step 6: Final answer
    x = 30,966,140.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.