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Finding the Third Proportional to 18,369,320,228,700 and 39,358,773,143,086

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Solution

The third proportional to 18,369,320,228,700 and 39,358,773,143,086 is: 84,331,537,805,552.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,369,320,228,700 : 39,358,773,143,086 = 39,358,773,143,086 : x
  2. Step 2: Convert to fraction form
    18,369,320,228,700/39,358,773,143,086 = 39,358,773,143,086/x
  3. Step 3: Cross multiply
    18,369,320,228,700x = 39,358,773,143,086 × 39,358,773,143,086
  4. Step 4: Simplify right side
    18,369,320,228,700x = 1,549,113,023,328,907,828,949,680,128
  5. Step 5: Solve for x
    x = 1,549,113,023,328,907,828,949,680,128/18,369,320,228,700
  6. Step 6: Final answer
    x = 84,331,537,805,552.14

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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.