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Finding the Third Proportional to 13,676,229 and 21,655,961

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Solution

The third proportional to 13,676,229 and 21,655,961 is: 34,291,663.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676,229 : 21,655,961 = 21,655,961 : x
  2. Step 2: Convert to fraction form
    13,676,229/21,655,961 = 21,655,961/x
  3. Step 3: Cross multiply
    13,676,229x = 21,655,961 × 21,655,961
  4. Step 4: Simplify right side
    13,676,229x = 468,980,646,833,521
  5. Step 5: Solve for x
    x = 468,980,646,833,521/13,676,229
  6. Step 6: Final answer
    x = 34,291,663.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.