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Finding the Third Proportional to 4,423,338,012 and 9,503,121,216

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Solution

The third proportional to 4,423,338,012 and 9,503,121,216 is: 20,416,552,522.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,423,338,012 : 9,503,121,216 = 9,503,121,216 : x
  2. Step 2: Convert to fraction form
    4,423,338,012/9,503,121,216 = 9,503,121,216/x
  3. Step 3: Cross multiply
    4,423,338,012x = 9,503,121,216 × 9,503,121,216
  4. Step 4: Simplify right side
    4,423,338,012x = 90,309,312,845,989,314,560
  5. Step 5: Solve for x
    x = 90,309,312,845,989,314,560/4,423,338,012
  6. Step 6: Final answer
    x = 20,416,552,522.32

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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.