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Finding the Third Proportional to 53,683,164 and 82,086,048.50

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Solution

The third proportional to 53,683,164 and 82,086,048.50 is: 125,516,434.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,683,164 : 82,086,048.50 = 82,086,048.50 : x
  2. Step 2: Convert to fraction form
    53,683,164/82,086,048.50 = 82,086,048.50/x
  3. Step 3: Cross multiply
    53,683,164x = 82,086,048.50 × 82,086,048.50
  4. Step 4: Simplify right side
    53,683,164x = 6,738,119,358,344,352
  5. Step 5: Solve for x
    x = 6,738,119,358,344,352/53,683,164
  6. Step 6: Final answer
    x = 125,516,434.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.