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Finding the Third Proportional to 19,186,770 and 29,521,209

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Solution

The third proportional to 19,186,770 and 29,521,209 is: 45,422,016.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,186,770 : 29,521,209 = 29,521,209 : x
  2. Step 2: Convert to fraction form
    19,186,770/29,521,209 = 29,521,209/x
  3. Step 3: Cross multiply
    19,186,770x = 29,521,209 × 29,521,209
  4. Step 4: Simplify right side
    19,186,770x = 871,501,780,821,681
  5. Step 5: Solve for x
    x = 871,501,780,821,681/19,186,770
  6. Step 6: Final answer
    x = 45,422,016.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.