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Finding the Third Proportional to 20,172,549,316 and 44,145,164,734

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Solution

The third proportional to 20,172,549,316 and 44,145,164,734 is: 96,606,310,826.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,172,549,316 : 44,145,164,734 = 44,145,164,734 : x
  2. Step 2: Convert to fraction form
    20,172,549,316/44,145,164,734 = 44,145,164,734/x
  3. Step 3: Cross multiply
    20,172,549,316x = 44,145,164,734 × 44,145,164,734
  4. Step 4: Simplify right side
    20,172,549,316x = 1,948,795,569,391,997,288,448
  5. Step 5: Solve for x
    x = 1,948,795,569,391,997,288,448/20,172,549,316
  6. Step 6: Final answer
    x = 96,606,310,826.88

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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.