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Finding the Third Proportional to 21,817,749.42 and 32,537,424.96

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Solution

The third proportional to 21,817,749.42 and 32,537,424.96 is: 48,523,979.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,817,749.42 : 32,537,424.96 = 32,537,424.96 : x
  2. Step 2: Convert to fraction form
    21,817,749.42/32,537,424.96 = 32,537,424.96/x
  3. Step 3: Cross multiply
    21,817,749.42x = 32,537,424.96 × 32,537,424.96
  4. Step 4: Simplify right side
    21,817,749.42x = 1,058,684,023,279,340.50
  5. Step 5: Solve for x
    x = 1,058,684,023,279,340.50/21,817,749.42
  6. Step 6: Final answer
    x = 48,523,979.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.