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Finding the Third Proportional to 318,840,793,510 and 702,671,495,249

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Solution

The third proportional to 318,840,793,510 and 702,671,495,249 is: 1,548,569,820,065.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,840,793,510 : 702,671,495,249 = 702,671,495,249 : x
  2. Step 2: Convert to fraction form
    318,840,793,510/702,671,495,249 = 702,671,495,249/x
  3. Step 3: Cross multiply
    318,840,793,510x = 702,671,495,249 × 702,671,495,249
  4. Step 4: Simplify right side
    318,840,793,510x = 493,747,230,235,465,453,928,448
  5. Step 5: Solve for x
    x = 493,747,230,235,465,453,928,448/318,840,793,510
  6. Step 6: Final answer
    x = 1,548,569,820,065.95

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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.