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Finding the Third Proportional to 61,583,434.50 and 86,097,264.75

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Solution

The third proportional to 61,583,434.50 and 86,097,264.75 is: 120,369,041.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,583,434.50 : 86,097,264.75 = 86,097,264.75 : x
  2. Step 2: Convert to fraction form
    61,583,434.50/86,097,264.75 = 86,097,264.75/x
  3. Step 3: Cross multiply
    61,583,434.50x = 86,097,264.75 × 86,097,264.75
  4. Step 4: Simplify right side
    61,583,434.50x = 7,412,738,997,431,593
  5. Step 5: Solve for x
    x = 7,412,738,997,431,593/61,583,434.50
  6. Step 6: Final answer
    x = 120,369,041.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.