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Finding the Third Proportional to 4,503,892,496 and 9,685,605,328

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Solution

The third proportional to 4,503,892,496 and 9,685,605,328 is: 20,828,860,958.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,503,892,496 : 9,685,605,328 = 9,685,605,328 : x
  2. Step 2: Convert to fraction form
    4,503,892,496/9,685,605,328 = 9,685,605,328/x
  3. Step 3: Cross multiply
    4,503,892,496x = 9,685,605,328 × 9,685,605,328
  4. Step 4: Simplify right side
    4,503,892,496x = 93,810,950,569,781,985,280
  5. Step 5: Solve for x
    x = 93,810,950,569,781,985,280/4,503,892,496
  6. Step 6: Final answer
    x = 20,828,860,958.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.