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Finding the Third Proportional to 46,323,064.50 and 61,756,831.50

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Solution

The third proportional to 46,323,064.50 and 61,756,831.50 is: 82,332,770.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,323,064.50 : 61,756,831.50 = 61,756,831.50 : x
  2. Step 2: Convert to fraction form
    46,323,064.50/61,756,831.50 = 61,756,831.50/x
  3. Step 3: Cross multiply
    46,323,064.50x = 61,756,831.50 × 61,756,831.50
  4. Step 4: Simplify right side
    46,323,064.50x = 3,813,906,236,919,392
  5. Step 5: Solve for x
    x = 3,813,906,236,919,392/46,323,064.50
  6. Step 6: Final answer
    x = 82,332,770.47

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.