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Finding the Third Proportional to 7,281,060,139,081 and 15,843,880,167,721

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Solution

The third proportional to 7,281,060,139,081 and 15,843,880,167,721 is: 34,476,921,488,631.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281,060,139,081 : 15,843,880,167,721 = 15,843,880,167,721 : x
  2. Step 2: Convert to fraction form
    7,281,060,139,081/15,843,880,167,721 = 15,843,880,167,721/x
  3. Step 3: Cross multiply
    7,281,060,139,081x = 15,843,880,167,721 × 15,843,880,167,721
  4. Step 4: Simplify right side
    7,281,060,139,081x = 251,028,538,769,102,821,702,762,496
  5. Step 5: Solve for x
    x = 251,028,538,769,102,821,702,762,496/7,281,060,139,081
  6. Step 6: Final answer
    x = 34,476,921,488,631.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.