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Finding the Third Proportional to 21,232,262 and 32,024,361

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Solution

The third proportional to 21,232,262 and 32,024,361 is: 48,301,951.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,232,262 : 32,024,361 = 32,024,361 : x
  2. Step 2: Convert to fraction form
    21,232,262/32,024,361 = 32,024,361/x
  3. Step 3: Cross multiply
    21,232,262x = 32,024,361 × 32,024,361
  4. Step 4: Simplify right side
    21,232,262x = 1,025,559,697,458,321
  5. Step 5: Solve for x
    x = 1,025,559,697,458,321/21,232,262
  6. Step 6: Final answer
    x = 48,301,951.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.