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Finding the Third Proportional to 34,460,505 and 53,352,445.50

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Solution

The third proportional to 34,460,505 and 53,352,445.50 is: 82,601,326.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,460,505 : 53,352,445.50 = 53,352,445.50 : x
  2. Step 2: Convert to fraction form
    34,460,505/53,352,445.50 = 53,352,445.50/x
  3. Step 3: Cross multiply
    34,460,505x = 53,352,445.50 × 53,352,445.50
  4. Step 4: Simplify right side
    34,460,505x = 2,846,483,440,830,470
  5. Step 5: Solve for x
    x = 2,846,483,440,830,470/34,460,505
  6. Step 6: Final answer
    x = 82,601,326.96

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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.