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Finding the Third Proportional to 20,172,549,324 and 44,145,164,748

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Solution

The third proportional to 20,172,549,324 and 44,145,164,748 is: 96,606,310,849.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,172,549,324 : 44,145,164,748 = 44,145,164,748 : x
  2. Step 2: Convert to fraction form
    20,172,549,324/44,145,164,748 = 44,145,164,748/x
  3. Step 3: Cross multiply
    20,172,549,324x = 44,145,164,748 × 44,145,164,748
  4. Step 4: Simplify right side
    20,172,549,324x = 1,948,795,570,628,061,822,976
  5. Step 5: Solve for x
    x = 1,948,795,570,628,061,822,976/20,172,549,324
  6. Step 6: Final answer
    x = 96,606,310,849.84

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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.