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Finding the Third Proportional to 53,435,782 and 116,709,783

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Solution

The third proportional to 53,435,782 and 116,709,783 is: 254,907,347.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,435,782 : 116,709,783 = 116,709,783 : x
  2. Step 2: Convert to fraction form
    53,435,782/116,709,783 = 116,709,783/x
  3. Step 3: Cross multiply
    53,435,782x = 116,709,783 × 116,709,783
  4. Step 4: Simplify right side
    53,435,782x = 13,621,173,447,907,088
  5. Step 5: Solve for x
    x = 13,621,173,447,907,088/53,435,782
  6. Step 6: Final answer
    x = 254,907,347.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.