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Finding the Third Proportional to 20,506,324.50 and 48,407,139

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Solution

The third proportional to 20,506,324.50 and 48,407,139 is: 114,269,678.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506,324.50 : 48,407,139 = 48,407,139 : x
  2. Step 2: Convert to fraction form
    20,506,324.50/48,407,139 = 48,407,139/x
  3. Step 3: Cross multiply
    20,506,324.50x = 48,407,139 × 48,407,139
  4. Step 4: Simplify right side
    20,506,324.50x = 2,343,251,106,165,321
  5. Step 5: Solve for x
    x = 2,343,251,106,165,321/20,506,324.50
  6. Step 6: Final answer
    x = 114,269,678.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.