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Finding the Third Proportional to 12,379,583,129 and 27,191,168,943

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Solution

The third proportional to 12,379,583,129 and 27,191,168,943 is: 59,724,116,780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,379,583,129 : 27,191,168,943 = 27,191,168,943 : x
  2. Step 2: Convert to fraction form
    12,379,583,129/27,191,168,943 = 27,191,168,943/x
  3. Step 3: Cross multiply
    12,379,583,129x = 27,191,168,943 × 27,191,168,943
  4. Step 4: Simplify right side
    12,379,583,129x = 739,359,668,486,767,771,648
  5. Step 5: Solve for x
    x = 739,359,668,486,767,771,648/12,379,583,129
  6. Step 6: Final answer
    x = 59,724,116,780.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.