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Finding the Third Proportional to 371,355,910,760 and 557,426,919,793

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Solution

The third proportional to 371,355,910,760 and 557,426,919,793 is: 836,730,376,188.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,355,910,760 : 557,426,919,793 = 557,426,919,793 : x
  2. Step 2: Convert to fraction form
    371,355,910,760/557,426,919,793 = 557,426,919,793/x
  3. Step 3: Cross multiply
    371,355,910,760x = 557,426,919,793 × 557,426,919,793
  4. Step 4: Simplify right side
    371,355,910,760x = 310,724,770,909,911,678,713,856
  5. Step 5: Solve for x
    x = 310,724,770,909,911,678,713,856/371,355,910,760
  6. Step 6: Final answer
    x = 836,730,376,188.16

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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.