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Finding the Third Proportional to 46,873,928 and 102,684,784

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Solution

The third proportional to 46,873,928 and 102,684,784 is: 224,947,328.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,873,928 : 102,684,784 = 102,684,784 : x
  2. Step 2: Convert to fraction form
    46,873,928/102,684,784 = 102,684,784/x
  3. Step 3: Cross multiply
    46,873,928x = 102,684,784 × 102,684,784
  4. Step 4: Simplify right side
    46,873,928x = 10,544,164,865,126,656
  5. Step 5: Solve for x
    x = 10,544,164,865,126,656/46,873,928
  6. Step 6: Final answer
    x = 224,947,328.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.