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Finding the Third Proportional to 35,911,149 and 55,719,294.75

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Solution

The third proportional to 35,911,149 and 55,719,294.75 is: 86,453,368.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,911,149 : 55,719,294.75 = 55,719,294.75 : x
  2. Step 2: Convert to fraction form
    35,911,149/55,719,294.75 = 55,719,294.75/x
  3. Step 3: Cross multiply
    35,911,149x = 55,719,294.75 × 55,719,294.75
  4. Step 4: Simplify right side
    35,911,149x = 3,104,639,807,437,377.50
  5. Step 5: Solve for x
    x = 3,104,639,807,437,377.50/35,911,149
  6. Step 6: Final answer
    x = 86,453,368.77

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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.