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Finding the Third Proportional to 34,460,496.50 and 53,352,432.75

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Solution

The third proportional to 34,460,496.50 and 53,352,432.75 is: 82,601,307.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,460,496.50 : 53,352,432.75 = 53,352,432.75 : x
  2. Step 2: Convert to fraction form
    34,460,496.50/53,352,432.75 = 53,352,432.75/x
  3. Step 3: Cross multiply
    34,460,496.50x = 53,352,432.75 × 53,352,432.75
  4. Step 4: Simplify right side
    34,460,496.50x = 2,846,482,080,343,272.50
  5. Step 5: Solve for x
    x = 2,846,482,080,343,272.50/34,460,496.50
  6. Step 6: Final answer
    x = 82,601,307.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.