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Finding the Third Proportional to 42,570,609.75 and 65,770,876.13

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Solution

The third proportional to 42,570,609.75 and 65,770,876.13 is: 101,614,897.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,570,609.75 : 65,770,876.13 = 65,770,876.13 : x
  2. Step 2: Convert to fraction form
    42,570,609.75/65,770,876.13 = 65,770,876.13/x
  3. Step 3: Cross multiply
    42,570,609.75x = 65,770,876.13 × 65,770,876.13
  4. Step 4: Simplify right side
    42,570,609.75x = 4,325,808,146,250,095
  5. Step 5: Solve for x
    x = 4,325,808,146,250,095/42,570,609.75
  6. Step 6: Final answer
    x = 101,614,897.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.