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Finding the Third Proportional to 267,819,504,519 and 578,243,272,197

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Solution

The third proportional to 267,819,504,519 and 578,243,272,197 is: 1,248,472,483,143.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,819,504,519 : 578,243,272,197 = 578,243,272,197 : x
  2. Step 2: Convert to fraction form
    267,819,504,519/578,243,272,197 = 578,243,272,197/x
  3. Step 3: Cross multiply
    267,819,504,519x = 578,243,272,197 × 578,243,272,197
  4. Step 4: Simplify right side
    267,819,504,519x = 334,365,281,841,093,843,877,888
  5. Step 5: Solve for x
    x = 334,365,281,841,093,843,877,888/267,819,504,519
  6. Step 6: Final answer
    x = 1,248,472,483,143.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.