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Finding the Third Proportional to 10,168,408 and 14,222,562

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Solution

The third proportional to 10,168,408 and 14,222,562 is: 19,893,111.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,168,408 : 14,222,562 = 14,222,562 : x
  2. Step 2: Convert to fraction form
    10,168,408/14,222,562 = 14,222,562/x
  3. Step 3: Cross multiply
    10,168,408x = 14,222,562 × 14,222,562
  4. Step 4: Simplify right side
    10,168,408x = 202,281,269,843,844
  5. Step 5: Solve for x
    x = 202,281,269,843,844/10,168,408
  6. Step 6: Final answer
    x = 19,893,111.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.