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Finding the Third Proportional to 1,868,497,229 and 2,627,916,334

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Solution

The third proportional to 1,868,497,229 and 2,627,916,334 is: 3,695,988,493.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868,497,229 : 2,627,916,334 = 2,627,916,334 : x
  2. Step 2: Convert to fraction form
    1,868,497,229/2,627,916,334 = 2,627,916,334/x
  3. Step 3: Cross multiply
    1,868,497,229x = 2,627,916,334 × 2,627,916,334
  4. Step 4: Simplify right side
    1,868,497,229x = 6,905,944,258,503,999,488
  5. Step 5: Solve for x
    x = 6,905,944,258,503,999,488/1,868,497,229
  6. Step 6: Final answer
    x = 3,695,988,493.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.