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Finding the Third Proportional to 13,450,258 and 21,412,461

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Solution

The third proportional to 13,450,258 and 21,412,461 is: 34,088,081.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,450,258 : 21,412,461 = 21,412,461 : x
  2. Step 2: Convert to fraction form
    13,450,258/21,412,461 = 21,412,461/x
  3. Step 3: Cross multiply
    13,450,258x = 21,412,461 × 21,412,461
  4. Step 4: Simplify right side
    13,450,258x = 458,493,486,076,521
  5. Step 5: Solve for x
    x = 458,493,486,076,521/13,450,258
  6. Step 6: Final answer
    x = 34,088,081.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.