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Finding the Third Proportional to 48,455,747 and 106,326,426

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Solution

The third proportional to 48,455,747 and 106,326,426 is: 233,312,033.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,455,747 : 106,326,426 = 106,326,426 : x
  2. Step 2: Convert to fraction form
    48,455,747/106,326,426 = 106,326,426/x
  3. Step 3: Cross multiply
    48,455,747x = 106,326,426 × 106,326,426
  4. Step 4: Simplify right side
    48,455,747x = 11,305,308,865,933,476
  5. Step 5: Solve for x
    x = 11,305,308,865,933,476/48,455,747
  6. Step 6: Final answer
    x = 233,312,033.47

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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.