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Finding the Third Proportional to 27,065,846.75 and 63,155,823.75

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Solution

The third proportional to 27,065,846.75 and 63,155,823.75 is: 147,368,678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,065,846.75 : 63,155,823.75 = 63,155,823.75 : x
  2. Step 2: Convert to fraction form
    27,065,846.75/63,155,823.75 = 63,155,823.75/x
  3. Step 3: Cross multiply
    27,065,846.75x = 63,155,823.75 × 63,155,823.75
  4. Step 4: Simplify right side
    27,065,846.75x = 3,988,658,073,541,064
  5. Step 5: Solve for x
    x = 3,988,658,073,541,064/27,065,846.75
  6. Step 6: Final answer
    x = 147,368,678.70

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.