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Finding the Third Proportional to 10,319,638.50 and 24,098,096.25

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Solution

The third proportional to 10,319,638.50 and 24,098,096.25 is: 56,273,118.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319,638.50 : 24,098,096.25 = 24,098,096.25 : x
  2. Step 2: Convert to fraction form
    10,319,638.50/24,098,096.25 = 24,098,096.25/x
  3. Step 3: Cross multiply
    10,319,638.50x = 24,098,096.25 × 24,098,096.25
  4. Step 4: Simplify right side
    10,319,638.50x = 580,718,242,874,264
  5. Step 5: Solve for x
    x = 580,718,242,874,264/10,319,638.50
  6. Step 6: Final answer
    x = 56,273,118.76

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.