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Finding the Third Proportional to 318,840,793,562 and 702,671,495,352

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Solution

The third proportional to 318,840,793,562 and 702,671,495,352 is: 1,548,569,820,267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,840,793,562 : 702,671,495,352 = 702,671,495,352 : x
  2. Step 2: Convert to fraction form
    318,840,793,562/702,671,495,352 = 702,671,495,352/x
  3. Step 3: Cross multiply
    318,840,793,562x = 702,671,495,352 × 702,671,495,352
  4. Step 4: Simplify right side
    318,840,793,562x = 493,747,230,380,215,783,915,520
  5. Step 5: Solve for x
    x = 493,747,230,380,215,783,915,520/318,840,793,562
  6. Step 6: Final answer
    x = 1,548,569,820,267.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.