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Finding the Third Proportional to 12,901,360,709,248 and 27,642,924,347,264

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Solution

The third proportional to 12,901,360,709,248 and 27,642,924,347,264 is: 59,228,734,370,694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901,360,709,248 : 27,642,924,347,264 = 27,642,924,347,264 : x
  2. Step 2: Convert to fraction form
    12,901,360,709,248/27,642,924,347,264 = 27,642,924,347,264/x
  3. Step 3: Cross multiply
    12,901,360,709,248x = 27,642,924,347,264 × 27,642,924,347,264
  4. Step 4: Simplify right side
    12,901,360,709,248x = 764,131,266,468,560,894,531,993,600
  5. Step 5: Solve for x
    x = 764,131,266,468,560,894,531,993,600/12,901,360,709,248
  6. Step 6: Final answer
    x = 59,228,734,370,694.21

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.