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Finding the Third Proportional to 12,712,619,052 and 19,841,378,058

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Solution

The third proportional to 12,712,619,052 and 19,841,378,058 is: 30,967,677,205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712,619,052 : 19,841,378,058 = 19,841,378,058 : x
  2. Step 2: Convert to fraction form
    12,712,619,052/19,841,378,058 = 19,841,378,058/x
  3. Step 3: Cross multiply
    12,712,619,052x = 19,841,378,058 × 19,841,378,058
  4. Step 4: Simplify right side
    12,712,619,052x = 393,680,283,240,483,848,192
  5. Step 5: Solve for x
    x = 393,680,283,240,483,848,192/12,712,619,052
  6. Step 6: Final answer
    x = 30,967,677,205.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.