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Finding the Third Proportional to 20,172,549,312 and 44,145,164,727

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Solution

The third proportional to 20,172,549,312 and 44,145,164,727 is: 96,606,310,815.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,172,549,312 : 44,145,164,727 = 44,145,164,727 : x
  2. Step 2: Convert to fraction form
    20,172,549,312/44,145,164,727 = 44,145,164,727/x
  3. Step 3: Cross multiply
    20,172,549,312x = 44,145,164,727 × 44,145,164,727
  4. Step 4: Simplify right side
    20,172,549,312x = 1,948,795,568,773,965,021,184
  5. Step 5: Solve for x
    x = 1,948,795,568,773,965,021,184/20,172,549,312
  6. Step 6: Final answer
    x = 96,606,310,815.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.