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Finding the Third Proportional to 9,654,058 and 14,314,106

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Solution

The third proportional to 9,654,058 and 14,314,106 is: 21,223,575.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654,058 : 14,314,106 = 14,314,106 : x
  2. Step 2: Convert to fraction form
    9,654,058/14,314,106 = 14,314,106/x
  3. Step 3: Cross multiply
    9,654,058x = 14,314,106 × 14,314,106
  4. Step 4: Simplify right side
    9,654,058x = 204,893,630,579,236
  5. Step 5: Solve for x
    x = 204,893,630,579,236/9,654,058
  6. Step 6: Final answer
    x = 21,223,575.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.