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Finding the Third Proportional to 13,284,399 and 21,692,229

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Solution

The third proportional to 13,284,399 and 21,692,229 is: 35,421,459.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284,399 : 21,692,229 = 21,692,229 : x
  2. Step 2: Convert to fraction form
    13,284,399/21,692,229 = 21,692,229/x
  3. Step 3: Cross multiply
    13,284,399x = 21,692,229 × 21,692,229
  4. Step 4: Simplify right side
    13,284,399x = 470,552,798,988,441
  5. Step 5: Solve for x
    x = 470,552,798,988,441/13,284,399
  6. Step 6: Final answer
    x = 35,421,459.34

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.