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Finding the Third Proportional to 35,020,986.75 and 55,946,238.75

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Solution

The third proportional to 35,020,986.75 and 55,946,238.75 is: 89,374,455.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,020,986.75 : 55,946,238.75 = 55,946,238.75 : x
  2. Step 2: Convert to fraction form
    35,020,986.75/55,946,238.75 = 55,946,238.75/x
  3. Step 3: Cross multiply
    35,020,986.75x = 55,946,238.75 × 55,946,238.75
  4. Step 4: Simplify right side
    35,020,986.75x = 3,129,981,630,272,001.50
  5. Step 5: Solve for x
    x = 3,129,981,630,272,001.50/35,020,986.75
  6. Step 6: Final answer
    x = 89,374,455.74

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.