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Finding the Third Proportional to 18,369,320,228,706 and 39,358,773,143,098

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Solution

The third proportional to 18,369,320,228,706 and 39,358,773,143,098 is: 84,331,537,805,576.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,369,320,228,706 : 39,358,773,143,098 = 39,358,773,143,098 : x
  2. Step 2: Convert to fraction form
    18,369,320,228,706/39,358,773,143,098 = 39,358,773,143,098/x
  3. Step 3: Cross multiply
    18,369,320,228,706x = 39,358,773,143,098 × 39,358,773,143,098
  4. Step 4: Simplify right side
    18,369,320,228,706x = 1,549,113,023,329,852,309,437,939,712
  5. Step 5: Solve for x
    x = 1,549,113,023,329,852,309,437,939,712/18,369,320,228,706
  6. Step 6: Final answer
    x = 84,331,537,805,576.02

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Why These Related Problems?

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