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Finding the Third Proportional to 264,373,495,358 and 396,840,063,332

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Solution

The third proportional to 264,373,495,358 and 396,840,063,332 is: 595,680,121,610.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,373,495,358 : 396,840,063,332 = 396,840,063,332 : x
  2. Step 2: Convert to fraction form
    264,373,495,358/396,840,063,332 = 396,840,063,332/x
  3. Step 3: Cross multiply
    264,373,495,358x = 396,840,063,332 × 396,840,063,332
  4. Step 4: Simplify right side
    264,373,495,358x = 157,482,035,865,345,757,020,160
  5. Step 5: Solve for x
    x = 157,482,035,865,345,757,020,160/264,373,495,358
  6. Step 6: Final answer
    x = 595,680,121,610.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.