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Finding the Third Proportional to 5,715,948,922 and 12,258,938,625

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Solution

The third proportional to 5,715,948,922 and 12,258,938,625 is: 26,291,623,361.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715,948,922 : 12,258,938,625 = 12,258,938,625 : x
  2. Step 2: Convert to fraction form
    5,715,948,922/12,258,938,625 = 12,258,938,625/x
  3. Step 3: Cross multiply
    5,715,948,922x = 12,258,938,625 × 12,258,938,625
  4. Step 4: Simplify right side
    5,715,948,922x = 150,281,576,211,516,882,944
  5. Step 5: Solve for x
    x = 150,281,576,211,516,882,944/5,715,948,922
  6. Step 6: Final answer
    x = 26,291,623,361.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.