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Finding the Third Proportional to 5,220,734,678.25 and 8,280,408,498

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Solution

The third proportional to 5,220,734,678.25 and 8,280,408,498 is: 13,133,240,648.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220,734,678.25 : 8,280,408,498 = 8,280,408,498 : x
  2. Step 2: Convert to fraction form
    5,220,734,678.25/8,280,408,498 = 8,280,408,498/x
  3. Step 3: Cross multiply
    5,220,734,678.25x = 8,280,408,498 × 8,280,408,498
  4. Step 4: Simplify right side
    5,220,734,678.25x = 68,565,164,893,750,616,064
  5. Step 5: Solve for x
    x = 68,565,164,893,750,616,064/5,220,734,678.25
  6. Step 6: Final answer
    x = 13,133,240,648.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.